《整式的加减》专项练习题(有答案)Word版
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整式的加减专项练习1、3(a+5b)-2(b-a)2、3a—(2b—a)+b3、2(2a2+9b)+3(-5a2-4b)4、(x3-2y3—3x2y)-(3x3—3y3-7x2y)5、3x2-[7x-(4x—3)—2x2]6、(2xy—y)—(—y+yx)7、5(a2b—3ab2)-2(a2b—7ab)8、(—2ab+3a)-2(2a-b)+2ab 9、(7m2n-5mn)—(4m2n-5mn)10、(5a2+2a-1)-4(3-8a+2a2).11、-3x2y+3xy2+2x2y—2xy2;12、2(a—1)-(2a-3)+3.13、—2(ab-3a2)—[2b2-(5ab+a2)+2ab]14、(x2—xy+y)-3(x2+xy—2y)15、3x2—[7x—(4x—3)—2x2]16、a2b-[2(a2b—2a2c)—(2bc+a2c)];17、-2y3+(3xy2-x2y)-2(xy2—y3).18、2(2x-3y)-(3x+2y+1)19、—(3a2—4ab)+[a2—2(2a+2ab)].20、5m —7n —8p+5n-9m —p;21、(5x 2y-7xy 2)-(xy 2-3x 2y ); 22、3(—3a 2-2a )—[a 2—2(5a —4a 2+1)—3a ].23、3a 2—9a+5—(—7a 2+10a-5); 24、-3a 2b-(2ab 2—a 2b )-(2a 2b+4ab 2).25、(5a —3a 2+1)-(4a 3—3a 2); 26、—2(ab —3a 2)—[2b 2—(5ab+a 2)+2ab]27、(8xy -x 2+y 2)+(-y 2+x 2-8xy ); 28、(2x 2-21+3x )-4(x -x 2+21);29、3x 2-[7x -(4x -3)-2x 2]. 30、5a+(4b-3a)—(-3a+b );31、(3a 2-3ab+2b 2)+(a 2+2ab-2b 2); 32、2a 2b+2ab 2-[2(a 2b —1)+2ab 2+2].33、(2a 2—1+2a )-3(a-1+a 2); 34、2(x 2-xy )-3(2x 2—3xy )-2[x 2-(2x 2-xy+y 2)].35、 -32ab +43a 2b +ab +(-43a 2b )-1 36、(8xy -x 2+y 2)+(-y 2+x 2-8xy ); 37、2x -(3x -2y +3)-(5y -2); 38、-(3a +2b )+(4a -3b +1)-(2a -b-3)39、4x 3-(-6x 3)+(-9x 3) 40、3-2xy +2yx 2+6xy -4x 2y41、 1-3(2ab +a )十[1-2(2a -3ab )].42、 3x -[5x +(3x -2)];43、(3a 2b -ab 2)-(ab 2+3a 2b ) 44、()[]{}y x x y x --+--3233245、(-x 2+5+4x 3)+(-x 3+5x -4) 46、(5a 2—2a+3)-(1-2a+a 2)+3(—1+3a —a 2).47、5(3a 2b —ab 2)-4(—ab 2+3a 2b ). 48、4a 2+2(3ab —2a 2)—(7ab-1).49、 21xy+(-41xy)-2xy 2—(-3y 2x ) 50、5a 2—[a 2—(5a 2—2a )—2(a 2—3a )]51、5m-7n —8p+5n-9m+8p 52、(5x 2y-7xy 2)—(xy 2-3x 2y )53、 3x2y—[2x2y—3(2xy-x2y)—xy] 54、+5x25556、(a2+4ab-4b2)—3(a2+b2)-7(b2—ab).57、a2+2a3+(-2a3)+(-3a3)+3a2;58、5ab+(—4a2b2)+8ab2—(—3ab)+(-a2b)+4a2b2; 59、(7y—3z)—(8y-5z);60、-3(2x2—xy)+4(x2+xy-6).61、(x3+3x2y—5xy2+9y3)+(-2y3+2xy2+x2y—2x3)-(4x2y-x3—3xy2+7y3)62、-3x2y+2x2y+3xy2—2xy2; 63、3(a2-2ab)—2(—3ab+b2);64、5abc-{2a 2b-[3abc-(4a 2b-ab 2]}.65、5m 2—[m 2+(5m 2-2m )—2(m 2-3m )].66、-[2m-3(m —n+1)—2]—1.67、31a-( 21a-4b —6c )+3(—2c+2b )68、 -5a n —a n -(—7a n )+(-3a n ) 69、x 2y-3xy 2+2yx 2-y 2x70、 41a 2b-0.4ab 2- 21a 2b+ 52ab 2;71、3a —{2c-[6a —(c-b )+c+(a+8b-6)]}72、—3(xy-2x 2)-[y 2—(5xy —4x 2)+2xy];73、化简、求值21x 2-2212- (x + y )2⎡⎤⎢⎥⎣⎦-23(-32x 2+31y 2),其中x =-2, y =-3474、化简、求值21x -2(x -31y 2)+(-23x +31y 2),其中x =-2,y =-32.75、x x x x x x 5)64(213223312323-++-⎪⎭⎫ ⎝⎛---其中x =-121;76、 化简,求值(4m+n )-[1—(m-4n )],m=52 n=-131 77、化简、求值2(a 2b +2b 3-ab 3)+3a 3-(2ba 2-3ab 2+3a 3)-4b 3,其中a =-3,b =278、化简,求值:(2x 3—xyz )-2(x 3—y 3+xyz )+(xyz-2y 3),其中x=1,y=2,z=—3.79、化简,求值:5x 2-[3x-2(2x-3)+7x 2],其中x=—2.80、若两个多项式的和是2x 2+xy+3y 2,一个加式是x 2-xy ,求另一个加式.81、若2a 2—4ab+b 2与一个多项式的差是—3a 2+2ab —5b 2,试求这个多项式.82、求5x 2y -2x 2y 与-2xy 2+4x 2y 的和.83、 求3x 2+x -5与4-x +7x 2的差.84、计算 5y+3x+5z 2与12y+7x —3z 2的和85、计算8xy 2+3x 2y —2与—2x 2y+5xy 2-3的差86、 多项式-x 2+3xy —21y 与多项式M 的差是-21x 2—xy+y ,求多项式M87、当,求代数式3(x 2-2xy)—[3x 2—2y+2(xy+y)]的值.88、化简再求值5abc —{2a 2b-[3abc —(4ab 2-a 2b )]-2ab 2},其中a=—2,b=3,c=-4189、已知A=a 2—2ab+b 2,B=a 2+2ab+b 2(1)求A+B ; (2)求41(B-A );90、小明同学做一道题,已知两个多项式A ,B ,计算A+B,他误将A+B 看作A —B,求得9x 2—2x+7,若B=x 2+3x-2,你能否帮助小明同学求得正确答案?91、已知:M=3x 2+2x —1,N=—x 2—2+3x ,求M —2N .92、已知2222A x xy yB x xy y=-+=+-,求3A-B44,593、已知A=x2+xy+y2,B=-3xy-x2,求2A-3B.94、已知2a+(b+1)2=0,求5ab2-[2a2b-(4ab2-2a2b)]的值.-95、化简求值:5abc-2a2b+[3abc-2(4ab2—a2b)],其中a、b、c满足|a—1|+|b-2|+c2=0.96、已知a,b,z满足:(1)已知|x-2|+(y+3)2=0,(2)z是最大的负整数,化简求值:2(x2y+xyz)-3(x2y—xyz)—4x2y.97、已知a+b=7,ab=10,求代数式(5ab+4a+7b)+(6a-3ab)-(4ab—3b)的值.98、已知m2+3mn=5,求5m2-[+5m2-(2m2-mn)-7mn-5]的值99、设A=2x2—3xy+y2+2x+2y,B=4x2-6xy+2y2-3x-y,若|x-2a|+(y-3)2=0,且B-2A=a,求a的值.100、有两个多项式:A =2a 2-4a +1,B =2(a 2-2a )+3,当a 取任意有理数时,请比较A 与B 的大小.整式的加减专项练习答案:1、3(a+5b)—2(b —a )=5a+13b2、3a —(2b —a )+b=4a —b .3、2(2a 2+9b )+3(-5a 2-4b )=—11a 2+6b 24、(x 3—2y 3—3x 2y )-(3x 3-3y 3—7x 2y )= -2x 3+y 3+4x 2y5、3x 2—[7x-(4x-3)—2x 2] = 5x 2 —3x —36、(2xy —y)—(-y+yx )= xy7、5(a 22b —3ab 2)-2(a 2b-7ab ) = -a 2b+11ab 8、(-2ab+3a )—2(2a-b )+2ab= -2a+b9、(7m 2n —5mn )-(4m 2n-5mn )= 3m 2n10、(5a 2+2a-1)-4(3-8a+2a 2)= -3a 2+34a-1311、—3x 2y+3xy 2+2x 2y-2xy 2= —x 2y+xy 212、2(a-1)—(2a-3)+3.=413、-2(ab-3a 2)-[2b 2—(5ab+a 2)+2ab ]= 7a 2+ab —2b 214、(x 2-xy+y )—3(x 2+xy —2y )= —2x 2-4xy+7y15、3x 2-[7x-(4x —3)-2x 2]=5x 2—3x —3 16、a 2b-[2(a 2b —2a 2c)-(2bc+a 2c)]= —a 2b+2bc+6a 2c17、-2y 3+(3xy 2—x 2y)—2(xy 2—y 3)= xy 2-x 2y18、2(2x —3y )-(3x+2y+1)=2x —8y —119、-(3a 2—4ab )+[a 2—2(2a+2ab )]=—2a 2—4a20、5m-7n —8p+5n —9m —p = —4m —2n —9p21、(5x 2y —7xy 2)—(xy 2—3x 2y )=4xy 2-4x 2y22、3(—3a 2-2a )—[a 2-2(5a —4a 2+1)-3a ]=—18a 2 +7a+223、3a 2-9a+5-(—7a 2+10a —5)=10a 2—19a+1024、—3a 2b —(2ab 2-a 2b )—(2a 2b+4ab 2)= -4a 2b —64ab 225、(5a-3a 2+1)-(4a 3—3a 2)=5a-4a 2+126、—2(ab-3a 2)—[2b 2-(5ab+a 2)+2ab ]=7a 2+ab-2b 227、(8xy -x 2+y 2)+(-y 2+x 2-8xy )=028、(2x 2-21+3x )-4(x -x 2+21) = 6x 2—x —2529、3x 2-[7x -(4x -3)-2x 2]= 5x 2-3x -330、5a+(4b —3a )—(-3a+b)= 5a+3b31、(3a 2—3ab+2b 2)+(a 2+2ab —2b 2)= 4a 2-ab32、2a 2b+2ab 2-[2(a 2b —1)+2ab 2+2].= —133、(2a 2—1+2a )—3(a —1+a 2)= -a 2-a+234、2(x 2—xy )—3(2x 2-3xy )-2[x 2-(2x 2-xy+y 2)]=—2x 2+5xy-2y 235、-32ab +43a 2b +ab +(-43a 2b )-1 = 31ab —1 36、(8xy -x 2+y 2)+(-y 2+x 2-8xy )=037、2x -(3x -2y +3)-(5y -2)=-x —3y —138、-(3a +2b )+(4a -3b +1)-(2a -b -3)= -a-4b+439、4x 3-(-6x 3)+(-9x 3)= x 340、3-2xy +2yx 2+6xy -4x 2y = -2 x 2y+441、 1-3(2ab +a )十[1-2(2a -3ab )]=2-7a42、 3x -[5x +(3x -2)]=—5x+243、(3a 2b -ab 2)-(ab 2+3a 2b )= —2ab 244、()[]{}y x x y x --+--32332 = 5x+y45、(-x 2+5+4x 3)+(-x 3+5x -4)= 3x 3-x 2+5x+146、(5a 2—2a+3)-(1—2a+a 2)+3(-1+3a —a 2)=a 2+9a —147、5(3a 2b-ab 2)-4(-ab 2+3a 2b ).=3a 2b-ab 248、4a 2+2(3ab —2a 2)—(7ab —1)=1—ab49、 21xy+(—41xy )-2xy 2-(—3y 2x )=41xy+xy 2 50、5a 2—[a 2-(5a 2—2a )—2(a 2—3a )]=11a 2—8a51、5m-7n-8p+5n-9m+8p=-4m —2n59、(7y —3z )—(8y-5z )=—y+2z60、-3(2x 2—xy )+4(x 2+xy —6)=-2x 2+7xy —2461、(x 3+3x 2y —5xy 2+9y 3)+(—2y 3+2xy 2+x 2y —2x 3)-(4x 2y —x 3—3xy 2+7y 3)=0 62、—3x 2y+2x 2y+3xy 2-2xy 2 = -x 2y+xy 263、3(a 2-2ab )-2(—3ab+b 2)=3a 2—2b 264、5abc-{2a 2b-[3abc —(4a 2b —ab 2]}=8abc-6a 2b+ab 265、5m 2-[m 2+(5m 2—2m )—2(m 2-3m )]=m 2-4m 66、—[2m-3(m-n+1)—2]—1=m —3n+4 67、31a-( 21a —4b-6c)+3(-2c+2b )= -61a+10b 68、 -5a n -a n —(-7a n )+(-3a n )= -2a n69、x 2y —3xy 2+2yx 2—y 2x=3x 2y-4xy 271、 41a 2b-0.4ab 2— 21a 2b+ 52ab 2 = —41a 2b 71、3a-{2c-[6a —(c —b )+c+(a+8b-6)]}= 10a+9b-2c-672、—3(xy-2x 2)-[y 2—(5xy —4x 2)+2xy ]= 2x 2—y 273、化简、求值21x 2-2212- (x + y )2⎡⎤⎢⎥⎣⎦-23(-32x 2+31y 2),其中x =-2, y =-34 原式=2x 2+21y 2-2 =698 74、化简、求值21x -2(x -31y 2)+(-23x +31y 2),其中x =-2,y =-32. 原式=—3x+y 2=694 75、x x x x x x 5)64(213223312323-++-⎪⎭⎫ ⎝⎛---其中x =-121; 原式=x 3+x 2-x+6=68376、 化简,求值(4m+n )-[1-(m —4n )],m=52 n=-131 原式=5m —3n-1=577、化简、求值2(a 2b +2b 3-ab 3)+3a 3-(2ba 2-3ab 2+3a 3)-4b 3,其中a =-3,b =2原式=—2ab 3+3ab 2=1278、化简,求值:(2x 3-xyz )—2(x 3-y 3+xyz )+(xyz —2y 3),其中x=1,y=2,z=-3.原式=-2xyz=679、化简,求值:5x 2—[3x —2(2x-3)+7x 2],其中x=-2.原式=—2x 2+x-6=—1680、若两个多项式的和是2x 2+xy+3y 2,一个加式是x 2-xy ,求另一个加式.(2x 2+xy+3y 2 ) --( x 2—xy )= x 2+2xy+3y 281、若2a 2-4ab+b 2与一个多项式的差是-3a 2+2ab —5b 2,试求这个多项式.( 2a 2—4ab+b 2 )—(-3a 2+2ab —5b 2)=5a 2 -6ab+6b 282、求5x 2y -2x 2y 与-2xy 2+4x 2y 的和.(5x 2y -2x 2y )+(-2xy 2+4x 2y )=3xy 2+2x 2y83、 求3x 2+x -5与4-x +7x 2的差.(3x 2+x -5)—(4-x +7x 2)=—4x 2+2x -984、计算 5y+3x+5z 2与12y+7x-3z 2的和(5y+3x+5z 2)+(12y+7x-3z 2)=17y+10x+2z 285、计算8xy 2+3x 2y —2与-2x 2y+5xy 2-3的差(8xy 2+3x 2y-2)-(-2x 2y+5xy 2—3)=5x 2y+3xy 2+1 86、 多项式-x 2+3xy —21y 与多项式M 的差是—21x 2—xy+y ,求多项式M23y 87、当3(x 2-2xy )—[3x 2—2y+2(xy+y)]的值. 原式=—8xy+y= —1588、化简再求值5abc-{2a 2b —[3abc-(4ab 2—a 2b )]-2ab 2},其中a=-2,b=3,c=-41 原式=83abc —a 2b —2ab 2=3689、已知A=a 2-2ab+b 2,B=a 2+2ab+b 2 (1)求A+B;(2)求41(B-A); A+B=2a 2+2b 2 41(B-A )=ab 90、小明同学做一道题,已知两个多项式A ,B ,计算A+B,他误将A+B 看作A —B ,求得 9x2—2x+7,若B=x 2+3x-2,你能否帮助小明同学求得正确答案?A=10x 2+x+5 A+B=11x 2+4x+391、已知:M=3x 2+2x-1,N=—x 2—2+3x,求M-2N .M —2N=5x 2-4x+392、已知222244,5A x xy y B x xy y =-+=+-,求3A -B3A -B=11x 2—13xy+8y 293、已知A =x 2+xy +y 2,B =-3xy -x 2,求2A -3B .2A -3B= 5x 2+11xy +2y 294、已知2-a +(b +1)2=0,求5ab 2-[2a 2b -(4ab 2-2a 2b )]的值. 原式=9ab 2-4a 2b=3495、化简求值:5abc-2a 2b+[3abc-2(4ab 2-a 2b )],其中a 、b 、c 满足|a-1|+|b-2|+c 2=0. 原式=8abc-8a 2b=—3296、已知a ,b,z 满足:(1)已知|x —2|+(y+3)2=0,(2)z 是最大的负整数,化简求值: 2(x 2y+xyz )—3(x 2y-xyz )—4x 2y .原式=-5x 2y+5xyz=9097、已知a+b=7,ab=10,求代数式(5ab+4a+7b)+(6a-3ab)—(4ab-3b)的值.原式=10a+10b—2ab=5098、已知m2+3mn=5,求5m2—[+5m2—(2m2-mn)—7mn-5]的值原式=2m2+6mn+5=1599、设A=2x2-3xy+y2+2x+2y,B=4x2—6xy+2y2-3x-y,若|x-2a|+(y-3)2=0,且B-2A=a,求a的值. B-2A=—7x—5y=-14a-15=a a=—1100、有两个多项式:A=2a2-4a+1,B=2(a2-2a)+3,当a取任意有理数时,请比较A 与B的大小. A=2a2-4a+1 B=2a2-4a+3 所以A<B。
整式的加减专项练习100题(有答案)1、3(a+5b)-2(b-a)2、3a-(2b-a)+b3、2(2a+9b)+3(-5a-4b)4、(x3-2y3-3x2y)-(3x3-3y3-7x2y)5、3x-[7x-(4x-3)-2x]6、(2xy-y)-(-y+yx)7、5(ab-3ab)-2(ab-7ab)8、(-2ab+3a)-2(2a-b)+2ab9、(7mn-5mn)-(4mn-5mn)10、(5a2+2a-1)-4(3-8a+2a2).11、-3xy+3xy+2xy-2xy;12、13、2(a-1)-(2a-3)+3.13、-2(ab-3a)-[2b-(5ab+a)+2ab]14、(x-xy+y )-3(x+xy-2y )15、3x-[7x-(4x-3)-2x]16、a 2b-[2(a 2b-2a 2c )-(2bc+a 2c )];17、17、-2y 3+(3xy 2-x 2y )-2(xy 2-y 3).18、2(2x-3y )-(3x+2y+1)19、-(3a-4ab )+[a-2(2a+2ab )].20、5m-7n-8p+5n-9m-p ;21、(5xy-7xy )-(xy-3xy );22、22、3(-3a-2a )-[a-2(5a-4a+1)-3a].23、3a-9a+5-(-7a+10a-5);24、-3ab-(2ab-ab )-(2ab+4ab ).25、(5a-3a+1)-(4a-3a );26、26、-2(ab-3a )-[2b-(5ab+a )+2ab]27、(8xy -x 2+y 2)+(-y 2+x 2-8xy );28、(2x 2-21+3x )-4(x -x 2+21);29、3x 2-[7x -(4x -3)-2x 2].30、5a+(4b-3a )-(-3a+b );31、(3a2-3ab+2b2)+(a2+2ab-2b2);32、2a2b+2ab2-[2(a2b-1)+2ab2+2].33、(2a-1+2a )-3(a-1+a );34、2(x-xy )-3(2x-3xy )-2[x-(2x-xy+y )].35、 -32ab +43a 2b +ab +(-43a 2b )-136、(8xy -x 2+y 2)+(-y 2+x 2-8xy );37、2x -(3x -2y +3)-(5y -2);38、-(3a +2b )+(4a -3b +1)-(2a -b -3)39、4x 3-(-6x 3)+(-9x 3)40、3-2xy +2yx 2+6xy -4x 2y41、 1-3(2ab +a )十[1-2(2a -3ab )].42、 3x -[5x +(3x -2)];43、(3a 2b -ab 2)-(ab 2+3a 2b )44、()[]{}y x x y x --+--3233245、(-x 2+5+4x 3)+(-x 3+5x -4)46、(5a 2-2a+3)-(1-2a+a 2)+3(-1+3a-a 2).47、5(3a 2b-ab 2)-4(-ab 2+3a 2b ).48、4a 2+2(3ab-2a 2)-(7ab-1).49、 21xy+(-41xy )-2xy 2-(-3y 2x )50、5a 2-[a 2-(5a 2-2a )-2(a 2-3a )]51、5m-7n-8p+5n-9m+8p52、(5xy-7xy )-(xy-3xy )53、 3xy-[2xy-3(2xy-xy )-xy]5556、(a+4ab-4b )-3(a+b )-7(b-ab ).57、a+2a+(-2a )+(-3a )+3a ;58、5ab+(-4ab )+8ab-(-3ab )+(-ab )+4ab ;59、(7y-3z )-(8y-5z );60、-3(2x 2-xy )+4(x 2+xy-6). 61、(x 3+3x 2y-5xy 2+9y 3)+(-2y 3+2xy 2+x 2y-2x 3)-(4x 2y-x 3-3xy 2+7y 3)62、-3x 2y+2x 2y+3xy 2-2xy 2;63、3(a 2-2ab )-2(-3ab+b 2);64、5abc-{2a 2b-[3abc-(4a 2b-ab 2]}.65、5m 2-[m 2+(5m 2-2m )-2(m 2-3m )].66、-[2m-3(m-n+1)-2]-1.67、31a-( 21a-4b-6c)+3(-2c+2b)68、 -5a-a-(-7a )+(-3a )69、69、xy-3xy+2yx-yx70、 41 21a 2b+ 52ab 2; 71、71、3a-{2c-[6a-(c-b )+c+(a+8b-6)]}72、-3(xy-2x )-[y-(5xy-4x )+2xy];73、化简、求值21x 2-2212- (x + y )2⎡⎤⎢⎥⎣⎦-23(-32x 2+31y 2),其中x =-2, y =-3474、化简、求值21x -2(x -31y 2)+(-23x +31y 2),其中x =-2,y =-32.75、x x x x x x 5)64(213223312323-++-⎪⎭⎫ ⎝⎛---其中x =-121;76、 化简,求值(4m+n )-[1-(m-4n )],m=52 n=-13177、化简、求值2(a 2b +2b 3-ab 3)+3a 3-(2ba 2-3ab 2+3a 3)-4b 3,其中a =-3,b =278、化简,求值:(2x 3-xyz )-2(x 3-y 3+xyz )+(xyz-2y 3),其中x=1,y=2,z=-3.79、化简,求值:5x-[3x-2(2x-3)+7x],其中x=-2.80、若两个多项式的和是2x+xy+3y ,一个加式是x-xy ,求另一个加式.81、若2a 2-4ab+b 2与一个多项式的差是-3a 2+2ab-5b 2,试求这个多项式.82、求5x 2y -2x 2y 与-2xy 2+4x 2y 的和.83、 求3x 2+x -5与4-x +7x 2的差.84、计算 5y+3x+5z 2与12y+7x-3z 2的和85、计算8xy 2+3x 2y-2与-2x 2y+5xy 2-3的差86、 多项式-x 2+3xy-21y 与多项式M 的差是-21x-xy+y ,求多项式M87、当3(x-2xy )-[3x-2y+2(xy+y )]的值.88、化简再求值5abc-{2a 2b-[3abc-(4ab 2-a 2b )]-2ab 2},其中a=-2,b=3,c=-4189、已知A=a 2-2ab+b 2,B=a 2+2ab+b 2(1)求A+B ;(2)求41(B-A);90、小明同学做一道题,已知两个多项式A ,B ,计算A+B ,他误将A+B 看作A-B ,求得9x-2x+7,若B=x+3x-2,你能否帮助小明同学求得正确答案91、已知:M=3x+2x-1,N=-x-2+3x ,求M-2N .92、已知222244,5A x xy y B x xy y =-+=+-,求3A -B93、已知A =x 2+xy +y 2,B =-3xy -x 2,求2A -3B .94、已知2-a +(b +1)2=0,求5ab 2-[2a 2b -(4ab 2-2a 2b )]的值.化简求值:5abc-2ab+[3abc-2(4ab-ab )],其中a 、b 、c 满足|a-1|+|b-2|+c=0.96、已知a ,b ,z 满足:(1)已知|x-2|+(y+3)=0,(2)z 是最大的负整数,化简求值: 2(xy+xyz )-3(xy-xyz )-4xy .97、已知a+b=7,ab=10,求代数式(5ab+4a+7b )+(6a-3ab )-(4ab-3b )的值.98、已知m+3mn=5,求5m-[+5m-(2m-mn )-7mn-5]的值99、设A=2x-3xy+y+2x+2y ,B=4x-6xy+2y-3x-y ,若|x-2a|+(y-3)2=0,且B-2A=a ,求a的值.100、有两个多项式:A=2a2-4a+1,B=2(a2-2a)+3,当a取任意有理数时,请比较A 与B的大小.答案:1、3(a+5b)-2(b-a)=5a+13b2、3a-(2b-a)+b=4a-b.3、2(2a+9b)+3(-5a-4b)=—11a2+6b24、(x3-2y3-3x2y)-(3x3-3y3-7x2y)= -2x3+y3+4x2y5、3x-[7x-(4x-3)-2x] = 5x-3x-36、(2xy-y)-(-y+yx)= xy7、5(a2b-3ab2)-2(a2b-7ab) = -a2b+11ab8、(-2ab+3a)-2(2a-b)+2ab= -2a+b9、(7m2n-5mn)-(4m2n-5mn)= 3m2n10、(5a2+2a-1)-4(3-8a+2a2)= -3a2+34a-1311、-3x2y+3xy2+2x2y-2xy2= -x2y+xy212、2(a-1)-(2a-3)+3.=413、-2(ab-3a2)-[2b2-(5ab+a2)+2ab]= 7a2+ab-2b214、(x2-xy+y)-3(x2+xy-2y)= -2x2-4xy+7y15、3x2-[7x-(4x-3)-2x2]=5x2-3x-316、a2b-[2(a2b-2a2c)-(2bc+a2c)]= -a2b+2bc+6a2c17、-2y3+(3xy2-x2y)-2(xy2-y3)= xy2-x2y18、2(2x-3y)-(3x+2y+1)=2x-8y-119、-(3a2-4ab)+[a2-2(2a+2ab)]=-2a2-4a20、5m-7n-8p+5n-9m-p = -4m-2n-9p21、(5x2y-7xy2)-(xy2-3x2y)=4xy2-4x2y22、3(-3a2-2a)-[a2-2(5a-4a2+1)-3a]=-18a2 +7a+223、3a-9a+5-(-7a+10a-5)=10a-19a+1024、-3a2b-(2ab2-a2b)-(2a2b+4ab2)= -4a2b-64ab225、(5a-3a 2+1)-(4a 3-3a 2)=5a-4a 2+1 26、26、-2(ab-3a )-[2b-(5ab+a )+2ab]=7a 2+ab-2b 227、(8xy -x 2+y 2)+(-y 2+x 2-8xy )=028、(2x 2-21+3x )-4(x -x 2+21) = 6x 2-x-25 29、3x 2-[7x -(4x -3)-2x 2]= 5x 2-3x -330、5a+(4b-3a )-(-3a+b )= 5a+3b31、(3a 2-3ab+2b 2)+(a 2+2ab-2b 2)= 4a 2-ab 32、2a 2b+2ab 2-[2(a 2b-1)+2ab 2+2].= -133、(2a 2-1+2a )-3(a-1+a 2)= -a 2-a+234、2(x-xy )-3(2x-3xy )-2[x-(2x-xy+y )]=-2x+5xy-2y 35、-32ab +43a 2b +ab +(-43a 2b )-1 = 31ab-1 36、(8xy -x 2+y 2)+(-y 2+x 2-8xy )=037、2x -(3x -2y +3)-(5y -2)=-x-3y-138、-(3a +2b )+(4a -3b +1)-(2a -b -3)= -a-4b+439、4x 3-(-6x 3)+(-9x 3)= x 340、3-2xy +2yx 2+6xy -4x 2y = -2 x 2y+441、 1-3(2ab +a )十[1-2(2a -3ab )]=2-7a42、 3x -[5x +(3x -2)]=-5x+243、(3a 2b -ab 2)-(ab 2+3a 2b )= -2ab 244、()[]{}y x x y x --+--32332 = 5x+y45、(-x 2+5+4x 3)+(-x 3+5x -4)= 3x 3-x 2+5x+146、(5a 2-2a+3)-(1-2a+a 2)+3(-1+3a-a 2)=a 2+9a-147、5(3a 2b-ab 2)-4(-ab 2+3a 2b ).=3a 2b-ab 248、4a 2+2(3ab-2a 2)-(7ab-1)=1-ab49、 21xy+(-41xy )-2xy 2-(-3y 2x )=41xy+xy 250、5a 2-[a 2-(5a 2-2a )-2(a 2-3a )]=11a 2-8a51、5m-7n-8p+5n-9m+8p=-4m-2n52、(5xy-7xy )-(xy-3xy )=8xy-6xy57、a 2+2a 3+(-2a 3)+(-3a 3)+3a 2 = -3a 3+4a 2 58、5ab+(-4a 2b 2)+8ab 2-(-3ab )+(-a 2b )+4a 2b 2=8ab+8ab 2-a 2b 59、(7y-3z )-(8y-5z )=-y+2z60、-3(2x 2-xy )+4(x 2+xy-6)=-2x 2+7xy-24 61、(x 3+3x 2y-5xy 2+9y 3)+(-2y 3+2xy 2+x 2y-2x 3)-(4x 2y-x 3-3xy 2+7y 3)=062、-3x 2y+2x 2y+3xy 2-2xy 2= -x 2y+xy 2 63、3(a 2-2ab )-2(-3ab+b 2)=3a 2-2b 264、5abc-{2a 2b-[3abc-(4a 2b-ab 2]}=8abc-6a 2b+ab 265、5m 2-[m 2+(5m 2-2m )-2(m 2-3m )]=m 2-4m66、-[2m-3(m-n+1)-2]-1=m-3n+4 67、31a-( 21a-4b-6c)+3(-2c+2b)= -61a+10b 68、 -5a n -a n -(-7a n )+(-3a n )= -2a n69、x 2y-3xy 2+2yx 2-y 2x=3x 2y-4xy 272、 41 21a 2b+ 52ab 2 = -41a 2b 73、 71、3a-{2c-[6a-(c-b )+c+(a+8b-6)]}= 10a+9b-2c-672、-3(xy-2x )-[y-(5xy-4x )+2xy]= 2x 2-y 273、化简、求值21x 2-2212- (x + y )2⎡⎤⎢⎥⎣⎦-23(-32x 2+31y 2),其中x =-2, y =-34 原式=2x 2+21y 2-2 =698 74、化简、求值21x -2(x -31y 2)+(-23x +31y 2),其中x =-2,y =-32. 原式=-3x+y 2=694 75、x x x x x x 5)64(213223312323-++-⎪⎭⎫ ⎝⎛---其中x =-121; 原式=x 3+x 2-x+6=68376、 化简,求值(4m+n )-[1-(m-4n )],m=52 n=-131 原式=5m-3n-1=577、化简、求值2(a 2b +2b 3-ab 3)+3a 3-(2ba 2-3ab 2+3a 3)-4b 3,其中a =-3,b =2原式=-2ab 3+3ab 2=1278、化简,求值:(2x 3-xyz )-2(x 3-y 3+xyz )+(xyz-2y 3),其中x=1,y=2,z=-3. 原式=-2xyz=679、化简,求值:5x-[3x-2(2x-3)+7x],其中x=-2. 原式=-2x 2+x-6=-1680、若两个多项式的和是2x+xy+3y ,一个加式是x-xy ,求另一个加式.(2x 2+xy+3y 2 ) ——( x 2-xy )= x 2+2xy+3y 281、若2a 2-4ab+b 2与一个多项式的差是-3a 2+2ab-5b 2,试求这个多项式.( 2a 2-4ab+b 2 )—(-3a 2+2ab-5b 2)=5a 2 -6ab+6b 282、求5x 2y -2x 2y 与-2xy 2+4x 2y 的和.(5x 2y -2x 2y )+(-2xy 2+4x 2y )=3xy 2+2x 2y83、 求3x 2+x -5与4-x +7x 2的差.(3x 2+x -5)—(4-x +7x 2)=—4x 2+2x -9 84、计算 5y+3x+5z 2与12y+7x-3z 2的和(5y+3x+5z 2)+(12y+7x-3z 2)=17y+10x+2z 285、计算8xy 2+3x 2y-2与-2x 2y+5xy 2-3的差 (8xy 2+3x 2y-2)—(-2x 2y+5xy 2-3)=5x 2y+3xy 2+1 86、 多项式-x 2+3xy-21y 与多项式M 的差是-21x-xy+y ,求多项式M M=-1x+4xy —23y87、当3(x-2xy )-[3x-2y+2(xy+y )]的值. 原式=-8xy+y= —1588、化简再求值5abc-{2a 2b-[3abc-(4ab 2-a 2b )]-2ab 2},其中a=-2,b=3,c=-41 原式=83abc-a 2b-2ab 2=3689、已知A=a 2-2ab+b 2,B=a 2+2ab+b 2(1)求A+B ;(2)求41(B-A); A+B=2a 2+2b 2 41(B-A)=ab 90、小明同学做一道题,已知两个多项式A ,B ,计算A+B ,他误将A+B 看作A-B ,求得 9x-2x+7,若B=x+3x-2,你能否帮助小明同学求得正确答案A=10x+x+5 A+B=11x+4x+391、已知:M=3x+2x-1,N=-x-2+3x ,求M-2N .M-2N=5x -4x+392、已知222244,5A x xy y B x xy y =-+=+-,求3A -B3A -B=11x 2-13xy+8y 293、已知A =x 2+xy +y 2,B =-3xy -x 2,求2A -3B .2A -3B= 5x 2+11xy +2y 294、已知2 a +(b +1)2=0,求5ab 2-[2a 2b -(4ab 2-2a 2b )]的值. 原式=9ab 2-4a 2b=34化简求值:5abc-2ab+[3abc-2(4ab-ab )],其中a 、b 、c 满足|a-1|+|b-2|+c=0. 原式=8abc-8ab=-3296、已知a ,b ,z 满足:(1)已知|x-2|+(y+3)2=0,(2)z 是最大的负整数,化简求值: 2(xy+xyz )-3(xy-xyz )-4xy .原式=-5xy+5xyz=9097、已知a+b=7,ab=10,求代数式(5ab+4a+7b )+(6a-3ab )-(4ab-3b )的值. 原式=10a+10b-2ab=5098、已知m+3mn=5,求5m-[+5m-(2m-mn )-7mn-5]的值原式=2m+6mn+5=1599、设A=2x-3xy+y+2x+2y ,B=4x-6xy+2y-3x-y ,若|x-2a|+(y-3)2=0,且B-2A=a ,求a 的值.B-2A=-7x-5y=-14a-15=a a=-1100、有两个多项式:A =2a 2-4a +1,B =2(a 2-2a )+3,当a 取任意有理数时,请比较A与B 的大小.A=2a 2-4a +1 B =2a 2-4a +3 所以A<B。
整式的加减》专项练习100题(已排版好,可直接打印,有答案)1.3(a+5b) - 2(b-a)2.3x^2 - [7x - (4x - 3) - 2x^2]3.2(2a^2 + 9b) + 3(-5a^2 - 4b)4.(x^3 - 2y^3 - 3x^2y) - (3x^3 - 3y^3 - 7x^2y)5.(2xy - y) - (-y + yx)6.5(a^2b - 3ab^2) - 2(a^2b - 7ab)7.(-2ab + 3a) - 2(2a - b) + 2ab8.(7m^2n - 5mn) - (4m^2n - 5mn)9.(5a^2 + 2a - 1) - 4(3 - 8a + 2a^2)10.-3x^2y + 3xy^2 + 2x^2y - 2xy^211.2(a - 1) - (2a - 3) + 312.-2(ab - 3a^2) - [2b^2 - (5ab + a^2) + 2ab]13.(x^2 - xy + y) - 3(x^2 + xy - 2y)14.3x^2 - [7x - (4x - 3) - 2x^2]15.a^2b - [2(a^2b - 2a^2c) - (2bc + a^2c)]16.-2y^3 + (3xy^2 - x^2y) - 2(xy^2 - y^3)17.2(2x - 3y) - (3x + 2y + 1)18.-(3a^2 - 4ab) + [a^2 - 2(2a + 2ab)]19.5m - 2n - 9p20.3(-3a^2 - 2a) - [a^2 - 2(5a - 4a^2 + 1) - 3a]21.3a^2 - 9a + 1022.-3a^2b - (2ab^2 - a^2b) - (2a^2b + 4ab^2)23.(5a - 3a^2 + 1) - (4a^3 - 3a^2)24.2a^2b + 2ab^2 - [2(a^2b - 1) + 2ab^2]25.(2a^2 - 1 + 2a) - 3(a - 1 + a^2)26.2xy - 5a^2 - 6ab + 2b^227.(3x - 2y + 3)28.5a + 2b29.(3a^2 - 3ab + 2b^2) + (a^2 + 2ab - 2b^2)30.2a^2 - 3(a - 1 + a^2)31.2a^2b - 2ab + 265、3x2y-2xy2+5x2y-3xy2;66、(3a2b-ab2)+(-2a2b+3ab2);67、(5x2y-7xy2)-(-2xy2+3x2y);68、4a2b-2ab2+(-3a2b+ab2);69、(x2y+2xy2-3y3)+(-2x2y+3xy2+y3);70、(4a2b-2ab2+3ab)-(-3a2b+ab2+2ab);71、(3x2y-5xy2+4y3)+(-2x2y+3xy2-y3);72、(5a2b2-2ab2+3ab)-(2a2b2+ab2-4ab).34、化简:2(x^2-xy)-3(2x^2-3xy)38、化简:-(3a+2b)+(4a-3b+1)-(2a-b-2[x^2-(2x^2-xy+y^2)]-3)35、化简:-ab+a^2b+ab-(-a^2b)39、化简:4x-(-6x)+(-9x)36、化简:(8xy-x^2+y^2)+(-y^2+x^2-8xy)40、化简:3-2xy+2yx^2+6xy-4x^2y41、化简:1-3(2ab+a)[1-2(2a-3ab)]45、化简:(-x^2+5+4x^3)+(-x^3+5x-4)42、化简:3x-[5x+(3x-2)]43、化简:(3a^2b-ab^2)-(ab^2+3a^2b)44、化简:2x-(-3y+[3x-2(3x-y)])46、化简:(5a^2-2a+3)-(1-2a+a^2)+3(-1+3a-a^2)47、化简:5(3a^2b-ab^2)-4(-ab^2+3a^2b)48、化简:4a^2+2(3ab-2a^2)-(7ab-1)49、化简:xy-(-xy)-2xy^2-(-3y^2x)53、化简:3x^2y-[2x^2y-3(2xy-x^2y)-xy]50、化简:5a-[a-(5a-2a)-2(a-3a)]51、化简:5m-7n-8p+5n-9m+8p52、化简:(5x^2y-7xy^2)-(xy^2-3x^2y)54、化简:3x^2-[5x-4(1/2x-1)]+5x^2/255、化简:2a^3b-a^2b+a^2b-ab^2/256、化简:(a^2+4ab-4b^2)-3(a^2+b^2)-7(b^2-ab)57、化简:a^2+2a^3-2a^3-3a^361、化简:(x^3+3x^2y-5xy^2+9y^3)+(-2y^3+3a^2+2xy^2+x^2y-2x^3)-(4x^2y-x^3-3xy^2+7y^3)58、化简:5ab-(-4a^2b^2)+8ab^2-(-3ab)-(-a^2b)+4a^2b^259、化简:7y-3z-8y+5z60、化简:-3(2x^2-xy)+4(x^2+xy-6)62、化简:-3x^2y+2x^2y+3xy^2-2xy^263、化简:3(a^2-2ab)-2(-3ab+b^2)64、化简:5abc-{2a^2b-[3abc-(4a^2b-ab^2)]}65、化简:3x^2y-2xy^2+5x^2y-3xy^266、化简:(3a^2b-ab^2)+(-2a^2b+3ab^2)67、化简:(5x^2y-7xy^2)-(-2xy^2+3x^2y)68、化简:4a^2b-2ab^2+(-3a^2b+ab^2)69、化简:(x^2y+2xy^2-3y^3)+(-2x^2y+3xy^2+y^3)70、化简:(4a^2b-2ab^2+3ab)-(-3a^2b+ab^2+2ab)71、化简:(3x^2y-5xy^2+4y^3)+(-2x^2y+3xy^2-y^3)72、化简:(5a^2b^2-2ab^2+3ab)-(2a^2b^2+ab^2-4ab)2时,求多项式2x3-3x2+5x-1的值。
整式的加减专项练习1、3(a+5b)-2(b-a)2、3a-(2b-a)+b3、2(2a2+9b)+3(-5a2-4b)4、(x3-2y3-3x2y)-(3x3-3y3-7x2y)5、3x2-[7x-(4x-3)-2x2]6、(2xy-y)-(-y+yx)7、5(a2b-3ab2)-2(a2b-7ab)8、(-2ab+3a)-2(2a-b)+2ab 9、(7m2n-5mn)-(4m2n-5mn)10、(5a2+2a-1)-4(3-8a+2a2).11、-3x2y+3xy2+2x2y-2xy2;12、2(a-1)-(2a-3)+3.13、-2(ab-3a2)-[2b2-(5ab+a2)+2ab]14、(x2-xy+y)-3(x2+xy-2y)15、3x2-[7x-(4x-3)-2x2]16、a2b-[2(a2b-2a2c)-(2bc+a2c)];17、-2y3+(3xy2-x2y)-2(xy2-y3).18、2(2x-3y)-(3x+2y+1)19、-(3a2-4ab)+[a2-2(2a+2ab)].20、5m-7n-8p+5n-9m-p ;21、(5x 2y-7xy 2)-(xy 2-3x 2y ); 22、3(-3a 2-2a )-[a 2-2(5a-4a 2+1)-3a].23、3a 2-9a+5-(-7a 2+10a-5); 24、-3a 2b-(2ab 2-a 2b )-(2a 2b+4ab 2).25、(5a-3a 2+1)-(4a 3-3a 2); 26、-2(ab-3a 2)-[2b 2-(5ab+a 2)+2ab]27、(8xy -x 2+y 2)+(-y 2+x 2-8xy ); 28、(2x 2-21+3x )-4(x -x 2+21);29、3x 2-[7x -(4x -3)-2x 2]. 30、5a+(4b-3a )-(-3a+b );31、(3a 2-3ab+2b 2)+(a 2+2ab-2b 2); 32、2a 2b+2ab 2-[2(a 2b-1)+2ab 2+2].33、(2a 2-1+2a )-3(a-1+a 2); 34、2(x 2-xy )-3(2x 2-3xy )-2[x 2-(2x 2-xy+y 2)].35、 -32ab +43a 2b +ab +(-43a 2b )-1 36、(8xy -x 2+y 2)+(-y 2+x 2-8xy );37、2x -(3x -2y +3)-(5y -2); 38、-(3a +2b )+(4a -3b +1)-(2a -b -3)39、4x 3-(-6x 3)+(-9x 3) 40、3-2xy +2yx 2+6xy -4x 2y41、 1-3(2ab +a )十[1-2(2a -3ab )].42、 3x -[5x +(3x -2)];43、(3a 2b -ab 2)-(ab 2+3a 2b ) 44、()[]{}y x x y x --+--3233245、(-x 2+5+4x 3)+(-x 3+5x -4) 46、(5a 2-2a+3)-(1-2a+a 2)+3(-1+3a-a 2).47、5(3a 2b-ab 2)-4(-ab 2+3a 2b ). 48、4a 2+2(3ab-2a 2)-(7ab-1).49、 21xy+(-41xy )-2xy 2-(-3y 2x ) 50、5a 2-[a 2-(5a 2-2a )-2(a 2-3a )]51、5m-7n-8p+5n-9m+8p 52、(5x 2y-7xy 2)-(xy 2-3x 2y )53、 3x2y-[2x2y-3(2xy-x2y)-xy] 54、5556、(a2+4ab-4b2)-3(a2+b2)-7(b2-ab).57、a2+2a3+(-2a3)+(-3a3)+3a2;58、5ab+(-4a2b2)+8ab2-(-3ab)+(-a2b)+4a2b2; 59、(7y-3z)-(8y-5z);60、-3(2x2-xy)+4(x2+xy-6).61、(x3+3x2y-5xy2+9y3)+(-2y3+2xy2+x2y-2x3)-(4x2y-x3-3xy2+7y3)62、-3x2y+2x2y+3xy2-2xy2; 63、3(a2-2ab)-2(-3ab+b2);64、5abc-{2a2b-[3abc-(4a2b-ab2]}.65、5m2-[m2+(5m2-2m)-2(m2-3m)].66、-[2m-3(m-n+1)-2]-1.67、31a-( 21a-4b-6c)+3(-2c+2b) 68、 -5a n -a n -(-7a n )+(-3a n ) 69、x 2y-3xy 2+2yx 2-y 2x70、 41a 2b-0.4ab 2- 21a 2b+ 52ab 2;71、3a-{2c-[6a-(c-b )+c+(a+8b-6)]}72、-3(xy-2x 2)-[y 2-(5xy-4x 2)+2xy];73、化简、求值21x 2-2212- (x + y )2⎡⎤⎢⎥⎣⎦-23(-32x 2+31y 2),其中x =-2, y =-3474、化简、求值21x -2(x -31y 2)+(-23x +31y 2),其中x =-2,y =-32.75、x x x x x x 5)64(213223312323-++-⎪⎭⎫ ⎝⎛---其中x =-121;76、 化简,求值(4m+n )-[1-(m-4n )],m=52 n=-13177、化简、求值2(a2b+2b3-ab3)+3a3-(2ba2-3ab2+3a3)-4b3,其中a=-3,b=278、化简,求值:(2x3-xyz)-2(x3-y3+xyz)+(xyz-2y3),其中x=1,y=2,z=-3.79、化简,求值:5x2-[3x-2(2x-3)+7x2],其中x=-2.80、若两个多项式的和是2x2+xy+3y2,一个加式是x2-xy,求另一个加式.81、若2a2-4ab+b2与一个多项式的差是-3a2+2ab-5b2,试求这个多项式.82、求5x2y-2x2y与-2xy2+4x2y的和.83、求3x2+x-5与4-x+7x2的差.84、计算 5y+3x+5z2与12y+7x-3z2的和85、计算8xy2+3x2y-2与-2x2y+5xy2-3的差86、 多项式-x 2+3xy-21y 与多项式M 的差是-21x 2-xy+y ,求多项式M87、当3(x 2-2xy )-[3x 2-2y+2(xy+y )]的值.88、化简再求值5abc-{2a 2b-[3abc-(4ab 2-a 2b )]-2ab 2},其中a=-2,b=3,c=-4189、已知A=a 2-2ab+b 2,B=a 2+2ab+b 2(1)求A+B ; (2)求41(B-A);90、小明同学做一道题,已知两个多项式A ,B ,计算A+B ,他误将A+B 看作A-B ,求得9x 2-2x+7,若B=x 2+3x-2,你能否帮助小明同学求得正确答案?91、已知:M=3x 2+2x-1,N=-x 2-2+3x ,求M-2N .92、已知222244,5A x xy y B x xy y =-+=+-,求3A -B93、已知A =x 2+xy +y 2,B =-3xy -x 2,求2A -3B .94、已知2 a +(b +1)2=0,求5ab 2-[2a 2b -(4ab 2-2a 2b )]的值.95、化简求值:5abc-2a 2b+[3abc-2(4ab 2-a 2b )],其中a 、b 、c 满足|a-1|+|b-2|+c 2=0.96、已知a ,b ,z 满足:(1)已知|x-2|+(y+3)2=0,(2)z 是最大的负整数,化简求值:2(x 2y+xyz )-3(x 2y-xyz )-4x 2y .97、已知a+b=7,ab=10,求代数式(5ab+4a+7b )+(6a-3ab )-(4ab-3b )的值.98、已知m 2+3mn=5,求5m 2-[+5m 2-(2m 2-mn )-7mn-5]的值99、设A=2x 2-3xy+y 2+2x+2y ,B=4x 2-6xy+2y 2-3x-y ,若|x-2a|+(y-3)2=0,且B-2A=a ,求a 的值.100、有两个多项式:A =2a 2-4a +1,B =2(a 2-2a )+3,当a 取任意有理数时,请比较A 与B 的大小.整式的加减专项练习答案:1、3(a+5b )-2(b-a )=5a+13b2、3a-(2b-a )+b=4a-b .3、2(2a 2+9b )+3(-5a 2-4b )=—11a 2+6b 2 4、(x 3-2y 3-3x 2y )-(3x 3-3y 3-7x 2y )= -2x 3+y 3+4x 2y5、3x 2-[7x-(4x-3)-2x 2] = 5x 2 -3x-36、(2xy-y )-(-y+yx )= xy7、5(a 22b-3ab 2)-2(a 2b-7ab ) = -a 2b+11ab 8、(-2ab+3a )-2(2a-b )+2ab= -2a+b9、(7m 2n-5mn )-(4m 2n-5mn )= 3m 2n10、(5a 2+2a-1)-4(3-8a+2a 2)= -3a 2+34a-1311、-3x 2y+3xy 2+2x 2y-2xy 2= -x 2y+xy 212、2(a-1)-(2a-3)+3.=413、-2(ab-3a 2)-[2b 2-(5ab+a 2)+2ab]= 7a 2+ab-2b 214、(x 2-xy+y )-3(x 2+xy-2y )= -2x 2-4xy+7y15、3x 2-[7x-(4x-3)-2x 2]=5x 2-3x-3 16、a 2b-[2(a 2b-2a 2c )-(2bc+a 2c )]= -a 2b+2bc+6a 2c17、-2y 3+(3xy 2-x 2y )-2(xy 2-y 3)= xy 2-x 2y18、2(2x-3y )-(3x+2y+1)=2x-8y-1 19、-(3a 2-4ab )+[a 2-2(2a+2ab )]=-2a 2-4a20、5m-7n-8p+5n-9m-p = -4m-2n-9p21、(5x 2y-7xy 2)-(xy 2-3x 2y )=4xy 2-4x 2y22、3(-3a 2-2a )-[a 2-2(5a-4a 2+1)-3a]=-18a 2 +7a+223、3a 2-9a+5-(-7a 2+10a-5)=10a 2-19a+1024、-3a 2b-(2ab 2-a 2b )-(2a 2b+4ab 2)= -4a 2b-64ab 225、(5a-3a 2+1)-(4a 3-3a 2)=5a-4a 2+126、-2(ab-3a 2)-[2b 2-(5ab+a 2)+2ab]=7a 2+ab-2b 2 27、(8xy -x 2+y 2)+(-y 2+x 2-8xy )=028、(2x 2-21+3x )-4(x -x 2+21) = 6x 2-x-25 29、3x 2-[7x -(4x -3)-2x 2]= 5x 2-3x -330、5a+(4b-3a )-(-3a+b )= 5a+3b31、(3a 2-3ab+2b 2)+(a 2+2ab-2b 2)= 4a 2-ab32、2a 2b+2ab 2-[2(a 2b-1)+2ab 2+2].= -133、(2a 2-1+2a )-3(a-1+a 2)= -a 2-a+234、2(x 2-xy )-3(2x 2-3xy )-2[x 2-(2x 2-xy+y 2)]=-2x 2+5xy-2y 235、-32ab +43a 2b +ab +(-43a 2b )-1 = 31ab-1 36、(8xy -x 2+y 2)+(-y 2+x 2-8xy )=037、2x -(3x -2y +3)-(5y -2)=-x-3y-138、-(3a +2b )+(4a -3b +1)-(2a -b -3)= -a-4b+439、4x 3-(-6x 3)+(-9x 3)= x 340、3-2xy +2yx 2+6xy -4x 2y = -2 x 2y+441、 1-3(2ab +a )十[1-2(2a -3ab )]=2-7a42、 3x -[5x +(3x -2)]=-5x+243、(3a 2b -ab 2)-(ab 2+3a 2b )= -2ab 244、()[]{}y x x y x --+--32332 = 5x+y45、(-x 2+5+4x 3)+(-x 3+5x -4)= 3x 3-x 2+5x+1 46、(5a 2-2a+3)-(1-2a+a 2)+3(-1+3a-a 2)=a 2+9a-147、5(3a 2b-ab 2)-4(-ab 2+3a 2b ).=3a 2b-ab 248、4a 2+2(3ab-2a 2)-(7ab-1)=1-ab49、 21xy+(-41xy )-2xy 2-(-3y 2x )=41xy+xy 2 50、5a 2-[a 2-(5a 2-2a )-2(a 2-3a )]=11a 2-8a51、5m-7n-8p+5n-9m+8p=-4m-2n59、(7y-3z )-(8y-5z )=-y+2z60、-3(2x 2-xy )+4(x 2+xy-6)=-2x 2+7xy-24 61、(x 3+3x 2y-5xy 2+9y 3)+(-2y 3+2xy 2+x 2y-2x 3)-(4x 2y-x 3-3xy 2+7y 3)=0 62、-3x 2y+2x 2y+3xy 2-2xy 2 = -x 2y+xy 263、3(a 2-2ab )-2(-3ab+b 2)=3a 2-2b 264、5abc-{2a 2b-[3abc-(4a 2b-ab 2]}=8abc-6a 2b+ab 265、5m 2-[m 2+(5m 2-2m )-2(m 2-3m )]=m 2-4m66、-[2m-3(m-n+1)-2]-1=m-3n+467、31a-( 21a-4b-6c)+3(-2c+2b)= -61a+10b 68、 -5a n -a n -(-7a n )+(-3a n )= -2a n69、x 2y-3xy 2+2yx 2-y 2x=3x 2y-4xy 271、 41a 2b-0.4ab 2- 21a 2b+ 52ab 2 = -41a 2b 71、3a-{2c-[6a-(c-b )+c+(a+8b-6)]}= 10a+9b-2c-672、-3(xy-2x 2)-[y 2-(5xy-4x 2)+2xy]= 2x 2-y 2 73、化简、求值21x 2-2212- (x + y )2⎡⎤⎢⎥⎣⎦-23(-32x 2+31y 2),其中x =-2, y =-34 原式=2x 2+21y 2-2 =698 74、化简、求值21x -2(x -31y 2)+(-23x +31y 2),其中x =-2,y =-32. 原式=-3x+y 2=694 75、x x x x x x 5)64(213223312323-++-⎪⎭⎫ ⎝⎛---其中x =-121; 原式=x 3+x 2-x+6=68376、 化简,求值(4m+n )-[1-(m-4n )],m=52 n=-131 原式=5m-3n-1=577、化简、求值2(a 2b +2b 3-ab 3)+3a 3-(2ba 2-3ab 2+3a 3)-4b 3,其中a =-3,b =2原式=-2ab 3+3ab 2=1278、化简,求值:(2x 3-xyz )-2(x 3-y 3+xyz )+(xyz-2y 3),其中x=1,y=2,z=-3.原式=-2xyz=679、化简,求值:5x 2-[3x-2(2x-3)+7x 2],其中x=-2.原式=-2x 2+x-6=-1680、若两个多项式的和是2x 2+xy+3y 2,一个加式是x 2-xy ,求另一个加式.(2x 2+xy+3y 2 ) ——( x 2-xy )= x 2+2xy+3y 281、若2a 2-4ab+b 2与一个多项式的差是-3a 2+2ab-5b 2,试求这个多项式.( 2a 2-4ab+b 2 )—(-3a 2+2ab-5b 2)=5a 2 -6ab+6b 282、求5x 2y -2x 2y 与-2xy 2+4x 2y 的和.(5x 2y -2x 2y )+(-2xy 2+4x 2y )=3xy 2+2x 2y83、 求3x 2+x -5与4-x +7x 2的差.(3x 2+x -5)—(4-x +7x 2)=—4x 2+2x -984、计算 5y+3x+5z 2与12y+7x-3z 2的和(5y+3x+5z 2)+(12y+7x-3z 2)=17y+10x+2z 285、计算8xy 2+3x 2y-2与-2x 2y+5xy 2-3的差(8xy 2+3x 2y-2)—(-2x 2y+5xy 2-3)=5x 2y+3xy 2+186、 多项式-x 2+3xy-21y 与多项式M 的差是-21x 2-xy+y ,求多项式M23y 87、当3(x 2-2xy )-[3x 2-2y+2(xy+y )]的值. 原式=-8xy+y= —1588、化简再求值5abc-{2a 2b-[3abc-(4ab 2-a 2b )]-2ab 2},其中a=-2,b=3,c=-41 原式=83abc-a 2b-2ab 2=3689、已知A=a 2-2ab+b 2,B=a 2+2ab+b 2 (1)求A+B ;(2)求41(B-A); A+B=2a 2+2b 2 41(B-A)=ab 90、小明同学做一道题,已知两个多项式A ,B ,计算A+B ,他误将A+B 看作A-B ,求得 9x 2-2x+7,若B=x 2+3x-2,你能否帮助小明同学求得正确答案?A=10x 2+x+5 A+B=11x 2+4x+391、已知:M=3x 2+2x-1,N=-x 2-2+3x ,求M-2N .M-2N=5x 2-4x+392、已知222244,5A x xy y B x xy y =-+=+-,求3A -B3A -B=11x 2-13xy+8y 293、已知A =x 2+xy +y 2,B =-3xy -x 2,求2A -3B .2A -3B= 5x 2+11xy +2y 294、已知2-a +(b +1)2=0,求5ab 2-[2a 2b -(4ab 2-2a 2b )]的值. 原式=9ab 2-4a 2b=3495、化简求值:5abc-2a 2b+[3abc-2(4ab 2-a 2b )],其中a 、b 、c 满足|a-1|+|b-2|+c 2=0. 原式=8abc-8a 2b=-3296、已知a ,b ,z 满足:(1)已知|x-2|+(y+3)2=0,(2)z 是最大的负整数,化简求值: 2(x 2y+xyz )-3(x 2y-xyz )-4x 2y .原式=-5x 2y+5xyz=9097、已知a+b=7,ab=10,求代数式(5ab+4a+7b )+(6a-3ab )-(4ab-3b )的值. 原式=10a+10b-2ab=5098、已知m 2+3mn=5,求5m 2-[+5m 2-(2m 2-mn )-7mn-5]的值原式=2m 2+6mn+5=1599、设A=2x 2-3xy+y 2+2x+2y ,B=4x 2-6xy+2y 2-3x-y ,若|x-2a|+(y-3)2=0,且B-2A=a ,求a 的值. B-2A=-7x-5y=-14a-15=a a=-1100、有两个多项式:A =2a 2-4a +1,B =2(a 2-2a )+3,当a 取任意有理数时,请比较A与B 的大小. A=2a 2-4a +1 B =2a 2-4a +3 所以A<B。
整式的加减专项练习1、3(a+5b)-2(b-a)2、3a-(2b-a)+b3、2(2a2+9b)+3(-5a2-4b)4、(x3-2y3-3x2y)-(3x3-3y3-7x2y)5、3x2-[7x-(4x-3)-2x2]6、(2xy-y)-(-y+yx)7、5(a2b-3ab2)-2(a2b-7ab)8、(-2ab+3a)-2(2a-b)+2ab 9、(7m2n-5mn)-(4m2n-5mn)10、(5a2+2a-1)-4(3-8a+2a2).11、-3x2y+3xy2+2x2y-2xy2;12、2(a-1)-(2a-3)+3.13、-2(ab-3a2)-[2b2-(5ab+a2)+2ab]14、(x2-xy+y)-3(x2+xy-2y)15、3x2-[7x-(4x-3)-2x2]16、a2b-[2(a2b-2a2c)-(2bc+a2c)];17、-2y3+(3xy2-x2y)-2(xy2-y3).18、2(2x-3y)-(3x+2y+1)19、-(3a2-4ab)+[a2-2(2a+2ab)].20、5m-7n-8p+5n-9m-p ;21、(5x 2y-7xy 2)-(xy 2-3x 2y ); 22、3(-3a 2-2a )-[a 2-2(5a-4a 2+1)-3a].23、3a 2-9a+5-(-7a 2+10a-5); 24、-3a 2b-(2ab 2-a 2b )-(2a 2b+4ab 2).25、(5a-3a 2+1)-(4a 3-3a 2); 26、-2(ab-3a 2)-[2b 2-(5ab+a 2)+2ab]27、(8xy -x 2+y 2)+(-y 2+x 2-8xy ); 28、(2x 2-21+3x )-4(x -x 2+21);29、3x 2-[7x -(4x -3)-2x 2]. 30、5a+(4b-3a )-(-3a+b );31、(3a 2-3ab+2b 2)+(a 2+2ab-2b 2); 32、2a 2b+2ab 2-[2(a 2b-1)+2ab 2+2].33、(2a 2-1+2a )-3(a-1+a 2); 34、2(x 2-xy )-3(2x 2-3xy )-2[x 2-(2x 2-xy+y 2)].35、 -32ab +43a 2b +ab +(-43a 2b )-1 36、(8xy -x 2+y 2)+(-y 2+x 2-8xy );37、2x -(3x -2y +3)-(5y -2); 38、-(3a +2b )+(4a -3b +1)-(2a -b -3)39、4x 3-(-6x 3)+(-9x 3) 40、3-2xy +2yx 2+6xy -4x 2y41、 1-3(2ab +a )十[1-2(2a -3ab )].42、 3x -[5x +(3x -2)];43、(3a 2b -ab 2)-(ab 2+3a 2b ) 44、()[]{}y x x y x --+--3233245、(-x 2+5+4x 3)+(-x 3+5x -4) 46、(5a 2-2a+3)-(1-2a+a 2)+3(-1+3a-a 2).47、5(3a 2b-ab 2)-4(-ab 2+3a 2b ). 48、4a 2+2(3ab-2a 2)-(7ab-1).49、 21xy+(-41xy )-2xy 2-(-3y 2x ) 50、5a 2-[a 2-(5a 2-2a )-2(a 2-3a )]51、5m-7n-8p+5n-9m+8p 52、(5x 2y-7xy 2)-(xy 2-3x 2y )53、 3x2y-[2x2y-3(2xy-x2y)-xy] 54、5556、(a2+4ab-4b2)-3(a2+b2)-7(b2-ab).57、a2+2a3+(-2a3)+(-3a3)+3a2;58、5ab+(-4a2b2)+8ab2-(-3ab)+(-a2b)+4a2b2; 59、(7y-3z)-(8y-5z);60、-3(2x2-xy)+4(x2+xy-6).61、(x3+3x2y-5xy2+9y3)+(-2y3+2xy2+x2y-2x3)-(4x2y-x3-3xy2+7y3)62、-3x2y+2x2y+3xy2-2xy2; 63、3(a2-2ab)-2(-3ab+b2);64、5abc-{2a2b-[3abc-(4a2b-ab2]}.65、5m2-[m2+(5m2-2m)-2(m2-3m)].66、-[2m-3(m-n+1)-2]-1.67、31a-( 21a-4b-6c)+3(-2c+2b) 68、 -5a n -a n -(-7a n )+(-3a n ) 69、x 2y-3xy 2+2yx 2-y 2x70、 41a 2b-0.4ab 2- 21a 2b+ 52ab 2;71、3a-{2c-[6a-(c-b )+c+(a+8b-6)]}72、-3(xy-2x 2)-[y 2-(5xy-4x 2)+2xy];73、化简、求值21x 2-2212- (x + y )2⎡⎤⎢⎥⎣⎦-23(-32x 2+31y 2),其中x =-2, y =-3474、化简、求值21x -2(x -31y 2)+(-23x +31y 2),其中x =-2,y =-32.75、x x x x x x 5)64(213223312323-++-⎪⎭⎫ ⎝⎛---其中x =-121;76、 化简,求值(4m+n )-[1-(m-4n )],m=52 n=-13177、化简、求值2(a2b+2b3-ab3)+3a3-(2ba2-3ab2+3a3)-4b3,其中a=-3,b=278、化简,求值:(2x3-xyz)-2(x3-y3+xyz)+(xyz-2y3),其中x=1,y=2,z=-3.79、化简,求值:5x2-[3x-2(2x-3)+7x2],其中x=-2.80、若两个多项式的和是2x2+xy+3y2,一个加式是x2-xy,求另一个加式.81、若2a2-4ab+b2与一个多项式的差是-3a2+2ab-5b2,试求这个多项式.82、求5x2y-2x2y与-2xy2+4x2y的和.83、求3x2+x-5与4-x+7x2的差.84、计算 5y+3x+5z2与12y+7x-3z2的和85、计算8xy2+3x2y-2与-2x2y+5xy2-3的差86、 多项式-x 2+3xy-21y 与多项式M 的差是-21x 2-xy+y ,求多项式M87、当3(x 2-2xy )-[3x 2-2y+2(xy+y )]的值.88、化简再求值5abc-{2a 2b-[3abc-(4ab 2-a 2b )]-2ab 2},其中a=-2,b=3,c=-4189、已知A=a 2-2ab+b 2,B=a 2+2ab+b 2(1)求A+B ; (2)求41(B-A);90、小明同学做一道题,已知两个多项式A ,B ,计算A+B ,他误将A+B 看作A-B ,求得9x 2-2x+7,若B=x 2+3x-2,你能否帮助小明同学求得正确答案?91、已知:M=3x 2+2x-1,N=-x 2-2+3x ,求M-2N .92、已知222244,5A x xy y B x xy y =-+=+-,求3A -B93、已知A =x 2+xy +y 2,B =-3xy -x 2,求2A -3B .94、已知2 a +(b +1)2=0,求5ab 2-[2a 2b -(4ab 2-2a 2b )]的值.95、化简求值:5abc-2a 2b+[3abc-2(4ab 2-a 2b )],其中a 、b 、c 满足|a-1|+|b-2|+c 2=0.96、已知a ,b ,z 满足:(1)已知|x-2|+(y+3)2=0,(2)z 是最大的负整数,化简求值:2(x 2y+xyz )-3(x 2y-xyz )-4x 2y .97、已知a+b=7,ab=10,求代数式(5ab+4a+7b )+(6a-3ab )-(4ab-3b )的值.98、已知m 2+3mn=5,求5m 2-[+5m 2-(2m 2-mn )-7mn-5]的值99、设A=2x 2-3xy+y 2+2x+2y ,B=4x 2-6xy+2y 2-3x-y ,若|x-2a|+(y-3)2=0,且B-2A=a ,求a 的值.100、有两个多项式:A =2a 2-4a +1,B =2(a 2-2a )+3,当a 取任意有理数时,请比较A 与B 的大小.整式的加减专项练习答案:1、3(a+5b )-2(b-a )=5a+13b2、3a-(2b-a )+b=4a-b .3、2(2a 2+9b )+3(-5a 2-4b )=—11a 2+6b 2 4、(x 3-2y 3-3x 2y )-(3x 3-3y 3-7x 2y )= -2x 3+y 3+4x 2y5、3x 2-[7x-(4x-3)-2x 2] = 5x 2 -3x-36、(2xy-y )-(-y+yx )= xy7、5(a 22b-3ab 2)-2(a 2b-7ab ) = -a 2b+11ab 8、(-2ab+3a )-2(2a-b )+2ab= -2a+b9、(7m 2n-5mn )-(4m 2n-5mn )= 3m 2n10、(5a 2+2a-1)-4(3-8a+2a 2)= -3a 2+34a-1311、-3x 2y+3xy 2+2x 2y-2xy 2= -x 2y+xy 212、2(a-1)-(2a-3)+3.=413、-2(ab-3a 2)-[2b 2-(5ab+a 2)+2ab]= 7a 2+ab-2b 214、(x 2-xy+y )-3(x 2+xy-2y )= -2x 2-4xy+7y15、3x 2-[7x-(4x-3)-2x 2]=5x 2-3x-3 16、a 2b-[2(a 2b-2a 2c )-(2bc+a 2c )]= -a 2b+2bc+6a 2c17、-2y 3+(3xy 2-x 2y )-2(xy 2-y 3)= xy 2-x 2y18、2(2x-3y )-(3x+2y+1)=2x-8y-1 19、-(3a 2-4ab )+[a 2-2(2a+2ab )]=-2a 2-4a20、5m-7n-8p+5n-9m-p = -4m-2n-9p21、(5x 2y-7xy 2)-(xy 2-3x 2y )=4xy 2-4x 2y22、3(-3a 2-2a )-[a 2-2(5a-4a 2+1)-3a]=-18a 2 +7a+223、3a 2-9a+5-(-7a 2+10a-5)=10a 2-19a+1024、-3a 2b-(2ab 2-a 2b )-(2a 2b+4ab 2)= -4a 2b-64ab 225、(5a-3a 2+1)-(4a 3-3a 2)=5a-4a 2+126、-2(ab-3a 2)-[2b 2-(5ab+a 2)+2ab]=7a 2+ab-2b 2 27、(8xy -x 2+y 2)+(-y 2+x 2-8xy )=028、(2x 2-21+3x )-4(x -x 2+21) = 6x 2-x-25 29、3x 2-[7x -(4x -3)-2x 2]= 5x 2-3x -330、5a+(4b-3a )-(-3a+b )= 5a+3b31、(3a 2-3ab+2b 2)+(a 2+2ab-2b 2)= 4a 2-ab32、2a 2b+2ab 2-[2(a 2b-1)+2ab 2+2].= -133、(2a 2-1+2a )-3(a-1+a 2)= -a 2-a+234、2(x 2-xy )-3(2x 2-3xy )-2[x 2-(2x 2-xy+y 2)]=-2x 2+5xy-2y 235、-32ab +43a 2b +ab +(-43a 2b )-1 = 31ab-1 36、(8xy -x 2+y 2)+(-y 2+x 2-8xy )=037、2x -(3x -2y +3)-(5y -2)=-x-3y-138、-(3a +2b )+(4a -3b +1)-(2a -b -3)= -a-4b+439、4x 3-(-6x 3)+(-9x 3)= x 340、3-2xy +2yx 2+6xy -4x 2y = -2 x 2y+441、 1-3(2ab +a )十[1-2(2a -3ab )]=2-7a42、 3x -[5x +(3x -2)]=-5x+243、(3a 2b -ab 2)-(ab 2+3a 2b )= -2ab 244、()[]{}y x x y x --+--32332 = 5x+y45、(-x 2+5+4x 3)+(-x 3+5x -4)= 3x 3-x 2+5x+1 46、(5a 2-2a+3)-(1-2a+a 2)+3(-1+3a-a 2)=a 2+9a-147、5(3a 2b-ab 2)-4(-ab 2+3a 2b ).=3a 2b-ab 248、4a 2+2(3ab-2a 2)-(7ab-1)=1-ab49、 21xy+(-41xy )-2xy 2-(-3y 2x )=41xy+xy 2 50、5a 2-[a 2-(5a 2-2a )-2(a 2-3a )]=11a 2-8a51、5m-7n-8p+5n-9m+8p=-4m-2n59、(7y-3z )-(8y-5z )=-y+2z60、-3(2x 2-xy )+4(x 2+xy-6)=-2x 2+7xy-24 61、(x 3+3x 2y-5xy 2+9y 3)+(-2y 3+2xy 2+x 2y-2x 3)-(4x 2y-x 3-3xy 2+7y 3)=0 62、-3x 2y+2x 2y+3xy 2-2xy 2 = -x 2y+xy 263、3(a 2-2ab )-2(-3ab+b 2)=3a 2-2b 264、5abc-{2a 2b-[3abc-(4a 2b-ab 2]}=8abc-6a 2b+ab 265、5m 2-[m 2+(5m 2-2m )-2(m 2-3m )]=m 2-4m66、-[2m-3(m-n+1)-2]-1=m-3n+467、31a-( 21a-4b-6c)+3(-2c+2b)= -61a+10b 68、 -5a n -a n -(-7a n )+(-3a n )= -2a n69、x 2y-3xy 2+2yx 2-y 2x=3x 2y-4xy 271、 41a 2b-0.4ab 2- 21a 2b+ 52ab 2 = -41a 2b 71、3a-{2c-[6a-(c-b )+c+(a+8b-6)]}= 10a+9b-2c-672、-3(xy-2x 2)-[y 2-(5xy-4x 2)+2xy]= 2x 2-y 2 73、化简、求值21x 2-2212- (x + y )2⎡⎤⎢⎥⎣⎦-23(-32x 2+31y 2),其中x =-2, y =-34 原式=2x 2+21y 2-2 =698 74、化简、求值21x -2(x -31y 2)+(-23x +31y 2),其中x =-2,y =-32. 原式=-3x+y 2=694 75、x x x x x x 5)64(213223312323-++-⎪⎭⎫ ⎝⎛---其中x =-121; 原式=x 3+x 2-x+6=68376、 化简,求值(4m+n )-[1-(m-4n )],m=52 n=-131 原式=5m-3n-1=577、化简、求值2(a 2b +2b 3-ab 3)+3a 3-(2ba 2-3ab 2+3a 3)-4b 3,其中a =-3,b =2原式=-2ab 3+3ab 2=1278、化简,求值:(2x 3-xyz )-2(x 3-y 3+xyz )+(xyz-2y 3),其中x=1,y=2,z=-3.原式=-2xyz=679、化简,求值:5x 2-[3x-2(2x-3)+7x 2],其中x=-2.原式=-2x 2+x-6=-1680、若两个多项式的和是2x 2+xy+3y 2,一个加式是x 2-xy ,求另一个加式.(2x 2+xy+3y 2 ) ——( x 2-xy )= x 2+2xy+3y 281、若2a 2-4ab+b 2与一个多项式的差是-3a 2+2ab-5b 2,试求这个多项式.( 2a 2-4ab+b 2 )—(-3a 2+2ab-5b 2)=5a 2 -6ab+6b 282、求5x 2y -2x 2y 与-2xy 2+4x 2y 的和.(5x 2y -2x 2y )+(-2xy 2+4x 2y )=3xy 2+2x 2y83、 求3x 2+x -5与4-x +7x 2的差.(3x 2+x -5)—(4-x +7x 2)=—4x 2+2x -984、计算 5y+3x+5z 2与12y+7x-3z 2的和(5y+3x+5z 2)+(12y+7x-3z 2)=17y+10x+2z 285、计算8xy 2+3x 2y-2与-2x 2y+5xy 2-3的差(8xy 2+3x 2y-2)—(-2x 2y+5xy 2-3)=5x 2y+3xy 2+186、 多项式-x 2+3xy-21y 与多项式M 的差是-21x 2-xy+y ,求多项式M23y 87、当3(x 2-2xy )-[3x 2-2y+2(xy+y )]的值. 原式=-8xy+y= —1588、化简再求值5abc-{2a 2b-[3abc-(4ab 2-a 2b )]-2ab 2},其中a=-2,b=3,c=-41 原式=83abc-a 2b-2ab 2=3689、已知A=a 2-2ab+b 2,B=a 2+2ab+b 2 (1)求A+B ;(2)求41(B-A); A+B=2a 2+2b 2 41(B-A)=ab 90、小明同学做一道题,已知两个多项式A ,B ,计算A+B ,他误将A+B 看作A-B ,求得 9x 2-2x+7,若B=x 2+3x-2,你能否帮助小明同学求得正确答案?A=10x 2+x+5 A+B=11x 2+4x+391、已知:M=3x 2+2x-1,N=-x 2-2+3x ,求M-2N .M-2N=5x 2-4x+392、已知222244,5A x xy y B x xy y =-+=+-,求3A -B3A -B=11x 2-13xy+8y 293、已知A =x 2+xy +y 2,B =-3xy -x 2,求2A -3B .2A -3B= 5x 2+11xy +2y 294、已知2-a +(b +1)2=0,求5ab 2-[2a 2b -(4ab 2-2a 2b )]的值. 原式=9ab 2-4a 2b=3495、化简求值:5abc-2a 2b+[3abc-2(4ab 2-a 2b )],其中a 、b 、c 满足|a-1|+|b-2|+c 2=0. 原式=8abc-8a 2b=-3296、已知a ,b ,z 满足:(1)已知|x-2|+(y+3)2=0,(2)z 是最大的负整数,化简求值: 2(x 2y+xyz )-3(x 2y-xyz )-4x 2y .原式=-5x 2y+5xyz=9097、已知a+b=7,ab=10,求代数式(5ab+4a+7b )+(6a-3ab )-(4ab-3b )的值. 原式=10a+10b-2ab=5098、已知m 2+3mn=5,求5m 2-[+5m 2-(2m 2-mn )-7mn-5]的值原式=2m 2+6mn+5=1599、设A=2x 2-3xy+y 2+2x+2y ,B=4x 2-6xy+2y 2-3x-y ,若|x-2a|+(y-3)2=0,且B-2A=a ,求a 的值. B-2A=-7x-5y=-14a-15=a a=-1100、有两个多项式:A =2a 2-4a +1,B =2(a 2-2a )+3,当a 取任意有理数时,请比较A与B 的大小. A=2a 2-4a +1 B =2a 2-4a +3 所以A<B。
1、3(a+5b)-2(b-a)2、3a-(2b-a)+b3、2(2a2+9b)+3(-5a2-4b)4、(x3-2y3-3x2y)-(3x3-3y3-7x2y)5、3x2-[7x-(4x-3)-2x2]6、(2xy-y)-(-y+yx)7、5(a2b-3ab2)-2(a2b-7ab)8、(-2ab+3a)-2(2a-b)+2ab9、(7m2n-5mn)-(4m2n-5mn)10、(5a2+2a-1)-4(3-8a+2a2).11、-3x2y+3xy2+2x2y-2xy2;12、2(a-1)-(2a-3)+3.13、-2(ab-3a2)-[2b2-(5ab+a2)+2ab]14、(x2-xy+y)-3(x2+xy-2y)15、3x2-[7x-(4x-3)-2x2]16、a2b-[2(a2b-2a2c)-(2bc+a2c)];17、-2y3+(3xy2-x2y)-2(xy2-y3).18、2(2x-3y)-(3x+2y+1)19、-(3a2-4ab)+[a2-2(2a+2ab)].20、5m-7n-8p+5n-9m-p;21、(5x2y-7xy2)-(xy2-3x2y);22、3(-3a2-2a)-[a2-2(5a-4a2+1)-3a].23、3a2-9a+5-(-7a2+10a-5);24、-3a2b-(2ab2-a2b)-(2a2b+4ab2).25、(5a -3a 2+1)-(4a 3-3a 2);26、-2(ab -3a 2)-[2b 2-(5ab +a 2)+2ab]27、(8xy -x 2+y 2)+(-y 2+x 2-8xy );28、(2x 2-21+3x )-4(x -x 2+21); 29、3x 2-[7x -(4x -3)-2x 2].30、5a +(4b -3a )-(-3a +b );31、(3a2-3ab +2b2)+(a2+2ab -2b2);32、2a2b +2ab2-[2(a2b -1)+2ab2+2].33、(2a 2-1+2a )-3(a -1+a 2);34、2(x 2-xy )-3(2x 2-3xy ) -2[x 2-(2x 2-xy +y 2)].35、 -32ab +43a 2b +ab +(-43a 2b )-136、(8xy -x 2+y 2)+(-y 2+x 2-8xy );37、2x -(3x -2y +3)-(5y -2);38、-(3a +2b )+(4a -3b +1)-(2a -b-3)39、4x 3-(-6x 3)+(-9x 3)40、3-2xy +2yx 2+6xy -4x 2y41、1-3(2ab+a)十[1-2(2a-3ab)].42、3x-[5x+(3x-2)];43、(3a2b-ab2)-(ab2+3a2b)44、()[]{}yxxyx--+--3233245、(-x2+5+4x3)+(-x3+5x-4)46、(5a2-2a+3)-(1-2a+a2)+3(-1+3a-a2).47、5(3a2b-ab2)-4(-ab2+3a2b).48、4a2+2(3ab-2a2)-(7ab-1).49、 21xy +(-41xy )-2xy 2-(-3y 2x )50、5a 2-[a 2-(5a 2-2a )-2(a 2-3a )]51、5m -7n -8p +5n -9m +8p52、(5x 2y -7xy 2)-(xy 2-3x 2y )53、 3x 2y -[2x 2y -3(2xy -x 2y )-xy]54、 3x 2-[5x -4(21x 2-1)]+5x 255、2a 3b - 21a 3b -a 2b + 21a 2b -ab 2;56、(a 2+4ab -4b 2)-3(a 2+b 2)-7(b 2-ab ).57、a2+2a3+(-2a3)+(-3a3)+3a2;58、5ab+(-4a2b2)+8ab2-(-3ab)+(-a2b)+4a2b2;59、(7y-3z)-(8y-5z);60、-3(2x2-xy)+4(x2+xy-6).61、(x3+3x2y-5xy2+9y3)+(-2y3+2xy2+x2y-2x3)-(4x2y-x3-3xy2+7y3)62、-3x2y+2x2y+3xy2-2xy2;63、3(a2-2ab)-2(-3ab+b2);64、5abc-{2a2b-[3abc-(4a2b-ab2]}.整式的加减专项练习100题(65-72) 65、5m 2-[m 2+(5m 2-2m )-2(m 2-3m )].66、-[2m -3(m -n +1)-2]-1.67、31a -(21a -4b -6c)+3(-2c +2b)68、 -5a n -a n -(-7a n )+(-3a n )69、x 2y -3xy 2+2yx 2-y 2x 70、 41a 2b -0.4ab 2- 21a 2b + 52ab 2;71、3a -{2c -[6a -(c -b )+c +(a +8b -6)]}72、-3(xy -2x 2)-[y 2-(5xy -4x 2)+2xy];整式的加减专项练习100题(73-76)73、化简、求值21x 2-2212- (x + y )2⎡⎤⎢⎥⎣⎦-23(-32x 2+31y 2),其中x =-2, y =-3474、化简、求值21x -2(x -31y 2)+(-23x +31y 2),其中x =-2,y =-32.75、x x x x x x 5)64(213223312323-++-⎪⎭⎫ ⎝⎛---其中x =-121;76、 化简,求值(4m +n )-[1-(m -4n )],m=52 n=-13177、化简、求值2(a2b+2b3-ab3)+3a3-(2ba2-3ab2+3a3)-4b3,其中a=-3,b=278、化简,求值:(2x3-xyz)-2(x3-y3+xyz)+(xyz-2y3),其中x=1,y=2,z=-3.79、化简,求值:5x2-[3x-2(2x-3)+7x2],其中x=-2.80、若两个多项式的和是2x2+xy+3y2,一个加式是x2-xy,求另一个加式.81、若2a2-4ab+b2与一个多项式的差是-3a2+2ab-5b2,试求这个多项式.82、求5x2y-2x2y与-2xy2+4x2y的和.83、求3x2+x-5与4-x+7x2的差.84、计算5y+3x+5z2与12y+7x-3z2的和85、计算8xy 2+3x 2y -2与-2x 2y +5xy 2-3的差86、 多项式-x 2+3xy -21y 与多项式M 的差是-21x 2-xy +y ,求多项式M87、当x=-21,y=-3时,求代数式3(x 2-2xy )-[3x 2-2y +2(xy +y )]的值.88、化简再求值5abc -{2a 2b -[3abc -(4ab 2-a 2b )]-2ab 2},其中a=-2,b=3,c=-4189、已知A=a 2-2ab +b 2,B=a 2+2ab +b 2(1)求A +B ; (2)求41(B -A);90、小明同学做一道题,已知两个多项式A ,B ,计算A +B ,他误将A +B 看作A -B ,求得9x 2-2x +7,若B=x 2+3x -2,你能否帮助小明同学求得正确答案?91、已知:M=3x 2+2x -1,N=-x 2-2+3x ,求M -2N .92、已知222244,5A x xy y B x xy y =-+=+-,求3A -B93、已知A=x2+xy+y2,B=-3xy-x2,求2A-3B.94、已知2a+(b+1)2=0,求5ab2-[2a2b-(4ab2-2a2b)]的值.95、化简求值:5abc-2a2b+[3abc-2(4ab2-a2b)],其中a、b、c满足|a-1|+|b-2|+c2=0.96、已知a,b,z满足:(1)已知|x-2|+(y+3)2=0,(2)z是最大的负整数,化简求值:2(x2y+xyz)-3(x2y-xyz)-4x2y.97、已知a+b=7,ab=10,求代数式(5ab+4a+7b)+(6a-3ab)-(4ab-3b)的值.98、已知m2+3mn=5,求5m2-[+5m2-(2m2-mn)-7mn-5]的值99、设A=2x2-3xy+y2+2x+2y,B=4x2-6xy+2y2-3x-y,若|x-2a|+(y-3)2=0,且B-2A=a,求a的值.100、有两个多项式:A=2a2-4a+1,B=2(a2-2a)+3,当a取任意有理数时,请比较A与B的大小.答案:1-161、3(a+5b)-2(b-a)=5a+13b2、3a-(2b-a)+b=4a-b.3、2(2a2+9b)+3(-5a2-4b)=—11a2+6b4、(x3-2y3-3x2y)-(3x3-3y3-7x2y)= -2x3+y3+4x2y5、3x2-[7x-(4x-3)-2x2] = 5x2 -3x-36、(2xy-y)-(-y+yx)= xy7、5(a2b-3ab2)-2(a2b-7ab)= -a2b+11ab8、(-2ab+3a)-2(2a-b)+2ab= -2a+b※※※※※※※※※※※※※※※※※※※※※※※※9、(7m2n-5mn)-(4m2n-5mn)= 3m2n10、(5a2+2a-1)-4(3-8a+2a2)= -3a2+34a-1311、-3x2y+3xy2+2x2y-2xy2= -x2y+xy212、2(a-1)-(2a-3)+3.=413、-2(ab-3a2)-[2b2-(5ab+a2)+2ab]= 7a2+ab-2b214、(x2-xy+y)-3(x2+xy-2y)= -2x2-4xy+7y15、3x2-[7x-(4x-3)-2x2]=5x2-3x-316、a2b-[2(a2b-2a2c)-(2bc+a2c)]= -a2b+2bc+5a2c※※※※※※ ※※※※※※ ※※※※※※ ※※※※※※ 答案:17-32※※※※※※ ※※※※※※ ※※※※※※ ※※※※※※17、-2y 3+(3xy 2-x 2y )-2(xy 2-y 3)= xy 2-x 2y18、2(2x -3y )-(3x +2y +1)=2x -8y -119、-(3a 2-4ab )+[a 2-2(2a +2ab )]=-2a 2-4a20、5m -7n -8p +5n -9m -p = -4m -2n -9p21、(5x 2y -7xy 2)-(xy 2-3x 2y )=4xy 2-4x 2y22、3(-3a 2-2a )-[a 2-2(5a -4a 2+1)-3a]=-18a 2 +7a +223、3a 2-9a +5-(-7a 2+10a -5)=10a 2-19a +1024、-3a 2b -(2ab 2-a 2b )-(2a 2b +4ab 2)= -4a 2b -64ab 2※※※※※※ ※※※※※※ ※※※※※※ ※※※※※※25、(5a -3a 2+1)-(4a 3-3a 2)=5a -4a 2+126、-2(ab -3a 2)-[2b 2-(5ab +a 2)+2ab]=7a 2+ab -2b 227、(8xy -x 2+y 2)+(-y 2+x 2-8xy )=028、(2x 2-21+3x )-4(x -x 2+21) = 6x 2-x -2529、3x 2-[7x -(4x -3)-2x 2]= 5x 2-3x -330、5a +(4b -3a )-(-3a +b )= 5a +3b31、(3a 2-3ab +2b 2)+(a 2+2ab -2b 2)= 4a 2-ab32、2a 2b +2ab 2-[2(a 2b -1)+2ab 2+2].= -1※※※※※※ ※※※※※※ ※※※※※※ ※※※※※※33、(2a 2-1+2a )-3(a -1+a 2)= -a 2-a +234、2(x 2-xy )-3(2x 2-3xy )-2[x 2-(2x 2-xy +y 2)]=-2x 2+5xy -2y 235、-32ab +43a 2b +ab +(-43a 2b )-1 =31ab -1 36、(8xy -x 2+y 2)+(-y 2+x 2-8xy )=037、2x -(3x -2y +3)-(5y -2)=-x -3y -138、-(3a +2b )+(4a -3b +1)-(2a -b -3)= -a -4b +439、4x 3-(-6x 3)+(-9x 3)= x 340、3-2xy +2yx 2+6xy -4x 2y = -2 x 2y +4※※※※※※ ※※※※※※ ※※※※※※ ※※※※※※ 41、 1-3(2ab +a )十[1-2(2a -3ab )]=2-7a42、 3x -[5x +(3x -2)]=-5x +243、(3a 2b -ab 2)-(ab 2+3a 2b )= -2ab 244、()[]{}y x x y x --+--32332 = 5x +y 45、(-x 2+5+4x 3)+(-x 3+5x -4)= 3x 3-x 2+5x +146、(5a 2-2a +3)-(1-2a +a 2)+3(-1+3a -a 2)=a 2+9a -147、5(3a 2b -ab 2)-4(-ab 2+3a 2b ).=3a 2b -ab 248、4a 2+2(3ab -2a 2)-(7ab -1)=1-ab※※※※※※ ※※※※※※ ※※※※※※ ※※※※※※49、 21xy +(-41xy )-2xy 2-(-3y 2x )=41xy +xy 2 50、5a 2-[a 2-(5a 2-2a )-2(a 2-3a )]=11a 2-8a51、5m -7n -8p +5n -9m +8p=-4m -2n52、(5x 2y -7xy 2)-(xy 2-3x 2y )=8x 2y -6xy 253、 3x 2y -[2x 2y -3(2xy -x 2y )-xy]=-2x 2y +7xy 54、 3x 2-[5x -4( 21x 2-1)]+5x 2 = 10x 2-5x -4 55、2a 3b - 21a 3b -a 2b + 21a 2b -ab 2 = 23a 3b - 21a 2b -ab 2 56、(a 2+4ab -4b 2)-3(a 2+b 2)-7(b 2-ab )=-2a 2+11ab -14b 2※※※※※※ ※※※※※※ ※※※※※※ ※※※※※※ ※※※※※※ ※※※※※※ ※※※※※※ ※※※※※※57、a 2+2a 3+(-2a 3)+(-3a 3)+3a 2 = -3a 3+4a 258、5ab +(-4a 2b 2)+8ab 2-(-3ab )+(-a 2b )+4a 2b 2=8ab +8ab 2-a 2b59、(7y -3z )-(8y -5z )=-y +2z60、-3(2x 2-xy )+4(x 2+xy -6)=-2x 2+7xy -2461、(x 3+3x 2y -5xy 2+9y 3)+(-2y 3+2xy 2+x 2y -2x 3)-(4x 2y -x 3-3xy 2+7y 3)=062、-3x 2y +2x 2y +3xy 2-2xy 2 = -x 2y +xy 263、3(a 2-2ab )-2(-3ab +b 2)=3a 2-2b 264、5abc -{2a 2b -[3abc -(4a 2b -ab 2]}=8abc -6a 2b +ab 2※※※※※※ ※※※※※※ ※※※※※※ ※※※※※※ 65、5m 2-[m 2+(5m 2-2m )-2(m 2-3m )]=m 2-4m 66、-[2m -3(m -n +1)-2]-1=m -3n +4 67、31a -(21a -4b -6c)+3(-2c +2b)= -61a +10b 68、 -5a n -a n -(-7a n )+(-3a n )= -2a n69、x 2y -3xy 2+2yx 2-y 2x=3x 2y -4xy 2 71、41a 2b -0.4ab 2- 21a 2b + 52ab 2 = -41a 2b 71、3a -{2c -[6a -(c -b )+c +(a +8b -6)]}= 10a +9b -2c -6 72、-3(xy -2x 2)-[y 2-(5xy -4x 2)+2xy]= 2x 2-y 2※※※※※※ ※※※※※※ ※※※※※※ ※※※※※※※※※※※※ ※※※※※※ ※※※※※※ ※※※※※※73、化简、求值21x 2-2212- (x + y )2⎡⎤⎢⎥⎣⎦-23(-32x 2+31y 2),其中x =-2, y =-34 原式=2x 2+21y 2-2 =69874、化简、求值21x -2(x -31y 2)+(-23x +31y 2),其中x =-2,y =-32. 原式=-3x +y 2=69475、x x x x x x 5)64(213223312323-++-⎪⎭⎫ ⎝⎛---其中x =-121;原式=x 3+x 2-x +6=68376、 化简,求值(4m +n )-[1-(m -4n )],m=52 n=-131 原式=5m -3n -1=5※※※※※※※※※※※※※※※※※※※※※※※※77、化简、求值2(a2b+2b3-ab3)+3a3-(2ba2-3ab2+3a3)-4b3,其中a=-3,b=2原式=-2ab3+3ab2=1278、化简,求值:(2x3-xyz)-2(x3-y3+xyz)+(xyz-2y3),其中x=1,y=2,z=-3.原式=-2xyz=679、化简,求值:5x2-[3x-2(2x-3)+7x2],其中x=-2.原式=-2x2+x-6=-1680、若两个多项式的和是2x2+xy+3y2,一个加式是x2-xy,求另一个加式.(2x2+xy+3y2 )——(x2-xy)= x2+2xy+3y2※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※81、若2a2-4ab+b2与一个多项式的差是-3a2+2ab-5b2,试求这个多项式.(2a2-4ab+b2)—(-3a2+2ab-5b2)=5a2 -6ab+6b282、求5x2y-2x2y与-2xy2+4x2y的和.(5x2y-2x2y)+(-2xy2+4x2y)=3xy2+2x2y83、求3x2+x-5与4-x+7x2的差.(3x2+x-5)—(4-x+7x2)=—4x2+2x-984、计算5y+3x+5z2与12y+7x-3z2的和(5y+3x+5z2)+(12y+7x-3z2)=17y+10x+2z2※※※※※※※※※※※※※※※※※※※※※※※※答案:85-92※※※※※※ ※※※※※※ ※※※※※※ ※※※※※※ 85、计算8xy 2+3x 2y -2与-2x 2y +5xy 2-3的差(8xy 2+3x 2y -2)—(-2x 2y +5xy 2-3)=5x 2y +3xy 2+186、 多项式-x 2+3xy -21y 与多项式M 的差是-21x 2-xy +y ,求多项式MM=-21x 2+4xy —23y87、当x=- 21,y=-3时,求代数式3(x 2-2xy )-[3x 2-2y +2(xy +y )]的值.原式=-8xy +y= —1588、化简再求值5abc -{2a 2b -[3abc -(4ab 2-a 2b )]-2ab 2},其中a=-2,b=3,c=-41原式=83abc -a 2b -2ab 2=36※※※※※※ ※※※※※※ ※※※※※※ ※※※※※※ ※※※※※※ ※※※※※※ ※※※※※※ ※※※※※※ 89、已知A=a 2-2ab +b 2,B=a 2+2ab +b 2 (1)求A +B ; (2)求41(B -A); A +B=2a 2+2b 241(B -A)=ab 90、小明同学做一道题,已知两个多项式A ,B ,计算A +B ,他误将A +B 看作A -B ,求得9x 2-2x +7,若B=x 2+3x -2,你能否帮助小明同学求得正确答案? A=10x 2+x +5 A +B=11x 2+4x +391、已知:M=3x 2+2x -1,N=-x 2-2+3x ,求M -2N . M -2N=5x 2-4x +392、已知222244,5A x xy y B x xy y =-+=+-,求3A -B 3A -B=11x 2-13xy +8y 2答案:93-100 ※※※※※※※※※※※※※※※※※※93、已知A=x2+xy+y2,B=-3xy-x2,求2A-3B.2A-3B= 5x2+11xy+2y294、已知2a+(b+1)2=0,求5ab2-[2a2b-(4ab2-2a2b)]的值.原式=9ab2-4a2b=3495、化简求值:5abc-2a2b+[3abc-2(4ab2-a2b)],其中a、b、c满足|a-1|+|b-2|+c2=0.原式=8abc-8a2b=-3296、已知a,b,z满足:(1)已知|x-2|+(y+3)2=0,(2)z是最大的负整数,化简求值:2(x2y+xyz)-3(x2y-xyz)-4x2y.原式=-5x2y+5xyz=90※※※※※※※※※※※※※※※※※※※※※※※※97、已知a+b=7,ab=10,求代数式(5ab+4a+7b)+(6a-3ab)-(4ab-3b)的值.原式=10a+10b-2ab=5098、已知m2+3mn=5,求5m2-[+5m2-(2m2-mn)-7mn-5]的值原式=2m2+6mn+5=1599、设A=2x2-3xy+y2+2x+2y,B=4x2-6xy+2y2-3x-y,若|x-2a|+(y-3)2=0,且B-2A=a,求a 的值.B-2A=-7x-5y=-14a-15=a a=-1100、有两个多项式:A=2a2-4a+1,B=2(a2-2a)+3,当a取任意有理数时,请比较A与B的大小.A=2a2-4a+1 B=2a2-4a+3 所以A<B。
整式的加减专项练习100题(有答案)1、3(a+5b)-2(b-a)2、3a-(2b-a)+b3、2(2a2+9b)+3(-5a2-4b)4、(x3-2y3-3x2y)-(3x3-3y3-7x2y)5、3x2-[7x-(4x-3)-2x2]6、(2xy-y)-(-y+yx)7、5(a2b-3ab2)-2(a2b-7ab)8、(-2ab+3a)-2(2a-b)+2ab9、(7m2n-5mn)-(4m2n-5mn)10、(5a2+2a-1)-4(3-8a+2a2).11、-3x2y+3xy2+2x2y-2xy2;12、2(a-1)-(2a-3)+3.13、-2(ab-3a2)-[2b2-(5ab+a2)+2ab]14、(x2-xy+y)-3(x2+xy-2y)15、3x2-[7x-(4x-3)-2x2]16、a2b-[2(a2b-2a2c)-(2bc+a2c)];17、-2y3+(3xy2-x2y)-2(xy2-y3).18、2(2x-3y)-(3x+2y+1)19、-(3a2-4ab)+[a2-2(2a+2ab)].20、5m-7n-8p+5n-9m-p;21、(5x2y-7xy2)-(xy2-3x2y);22、3(-3a2-2a)-[a2-2(5a-4a2+1)-3a].23、3a2-9a+5-(-7a2+10a-5);24、-3a 2b-(2ab 2-a 2b )-(2a 2b+4ab 2).25、(5a-3a 2+1)-(4a 3-3a 2);26、-2(ab-3a 2)-[2b 2-(5ab+a 2)+2ab]27、(8xy -x 2+y 2)+(-y 2+x 2-8xy );28、(2x 2-21+3x )-4(x -x 2+21);29、3x 2-[7x -(4x -3)-2x 2].30、5a+(4b-3a )-(-3a+b );31、(3a2-3ab+2b2)+(a2+2ab-2b2);32、2a2b+2ab2-[2(a2b-1)+2ab2+2].33、(2a 2-1+2a )-3(a-1+a 2);34、2(x 2-xy )-3(2x 2-3xy )-2[x 2-(2x 2-xy+y 2)].35、 -32ab +43a 2b +ab +(-43a 2b )-136、(8xy -x 2+y 2)+(-y 2+x 2-8xy );37、2x -(3x -2y +3)-(5y -2);38、-(3a +2b )+(4a -3b +1)-(2a -b -3)39、4x 3-(-6x 3)+(-9x 3)40、3-2xy +2yx 2+6xy -4x 2y41、 1-3(2ab +a )十[1-2(2a -3ab )].42、 3x -[5x +(3x -2)];43、(3a 2b -ab 2)-(ab 2+3a 2b )44、()[]{}y x x y x --+--3233245、(-x 2+5+4x 3)+(-x 3+5x -4)46、(5a 2-2a+3)-(1-2a+a 2)+3(-1+3a-a 2).47、5(3a 2b-ab 2)-4(-ab 2+3a 2b ).48、4a 2+2(3ab-2a 2)-(7ab-1).49、21xy+(-41xy )-2xy 2-(-3y 2x )50、5a 2-[a 2-(5a 2-2a )-2(a 2-3a )]51、5m-7n-8p+5n-9m+8p52、(5x 2y-7xy 2)-(xy 2-3x 2y )53、 3x 2y-[2x 2y-3(2xy-x 2y )-xy]5556、(a 2+4ab-4b 2)-3(a 2+b 2)-7(b 2-ab ).57、a 2+2a 3+(-2a 3)+(-3a 3)+3a 2;58、5ab+(-4a 2b 2)+8ab 2-(-3ab )+(-a 2b )+4a 2b 2;59、(7y-3z )-(8y-5z );60、-3(2x 2-xy )+4(x 2+xy-6).61、(x 3+3x 2y-5xy 2+9y 3)+(-2y 3+2xy 2+x 2y-2x 3)-(4x 2y-x 3-3xy 2+7y 3)62、-3x 2y+2x 2y+3xy 2-2xy 2;63、3(a 2-2ab )-2(-3ab+b 2);64、5abc-{2a 2b-[3abc-(4a 2b-ab 2]}.65、5m 2-[m 2+(5m 2-2m )-2(m 2-3m )].66、-[2m-3(m-n+1)-2]-1. 67、31a-( 21a-4b-6c)+3(-2c+2b) 68, -5a n -a n -(-7a n )+(-3a n )69、x 2y-3xy 2+2yx 2-y 2x71、3a-{2c-[6a-(c-b )+c+(a+8b-6)]} 72、-3(xy-2x 2)-[y 2-(5xy-4x 2)+2xy];73、化简、求值21x 2-2212- (x + y )2⎡⎤⎢⎥⎣⎦-23(-32x 2+31y 2),其中x =-2, y =-3474、化简、求值21x -2(x -31y 2)+(-23x +31y 2),其中x =-2,y =-32.75、x x x x x x 5)64(213223312323-++-⎪⎭⎫ ⎝⎛---其中x =-121;76、 化简,求值(4m+n )-[1-(m-4n )],m=52 n=-13177、化简、求值2(a 2b +2b 3-ab 3)+3a 3-(2ba 2-3ab 2+3a 3)-4b 3,其中a =-3,b =278、化简,求值:(2x 3-xyz )-2(x 3-y 3+xyz )+(xyz-2y 3),其中x=1,y=2,z=-3.79、化简,求值:5x 2-[3x-2(2x-3)+7x 2],其中x=-2.80、若两个多项式的和是2x 2+xy+3y 2,一个加式是x 2-xy ,求另一个加式.81、若2a 2-4ab+b 2与一个多项式的差是-3a 2+2ab-5b 2,试求这个多项式.82、求5x 2y -2x 2y 与-2xy 2+4x 2y 的和. 83、 求3x 2+x -5与4-x +7x 2的差.84、计算 5y+3x+5z2与12y+7x-3z2的和 85、计算8xy2+3x2y-2与-2x2y+5xy2-3的差86、 多项式-x 2+3xy-21y 与多项式M 的差是-21x 2-xy+y ,求多项式M87x=- 21,y=-3时,求代数式3(x 2-2xy )-[3x 2-2y+2(xy+y )]的值.88,化简再求值5abc-{2a 2b-[3abc-(4ab2-a2b )]-2ab2},其中a=-2,b=3,c=-4189、已知A=a2-2ab+b2,B=a2+2ab+b2(1)求A+B ;(2)求41(B-A);90、小明同学做一道题,已知两个多项式A ,B ,计算A+B ,他误将A+B 看作A-B ,求得9x 2-2x+7,若B=x 2+3x-2,你能否帮助小明同学求得正确答案?91、已知:M=3x 2+2x-1,N=-x 2-2+3x ,求M-2N .92、已知222244,5A x xy y B x xy y=-+=+-,求3A -B93、已知A =x 2+xy +y 2,B =-3xy -x 2,求2A -3B . 94、已知2-a +(b +1)2=0,求5ab 2-[2a 2b -(4ab 2-2a 2b )]的值.95、化简求值:5abc-2a 2b+[3abc-2(4ab 2-a 2b )],其中a 、b 、c 满足|a-1|+|b-2|+c 2=0.96、已知a ,b ,z 满足:(1)已知|x-2|+(y+3)2=0,(2)z 是最大的负整数,化简求值: 2(x 2y+xyz )-3(x 2y-xyz )-4x 2y .97、已知a+b=7,ab=10,求代数式(5ab+4a+7b )+(6a-3ab )-(4ab-3b )的值.98、已知m 2+3mn=5,求5m 2-[+5m 2-(2m 2-mn )-7mn-5]的值99、设A=2x 2-3xy+y 2+2x+2y ,B=4x 2-6xy+2y 2-3x-y ,若|x-2a|+(y-3)2=0,且B-2A=a ,求a 的值.100、有两个多项式:A =2a 2-4a +1,B =2(a 2-2a )+3,当a 取任意有理数时,请比较A 与B 的大小.答案:1、3(a+5b )-2(b-a )=5a+13b2、3a-(2b-a )+b=4a-b .3、2(2a 2+9b )+3(-5a 2-4b )=—11a2+6b24、(x 3-2y 3-3x 2y )-(3x 3-3y 3-7x 2y )= -2x 3+y 3+4x 2y5、3x 2-[7x-(4x-3)-2x 2] = 5x 2 -3x-36、(2xy-y )-(-y+yx )= xy7、5(a22b-3ab2)-2(a2b-7ab ) = -a2b+11ab8、(-2ab+3a )-2(2a-b )+2ab= -2a+b 9、(7m2n-5mn )-(4m2n-5mn )= 3m2n10、(5a 2+2a-1)-4(3-8a+2a 2)= -3a 2+34a-1311、-3x2y+3xy2+2x2y-2xy2= -x2y+xy 212、2(a-1)-(2a-3)+3.=413、-2(ab-3a 2)-[2b 2-(5ab+a2)+2ab]= 7a2+ab-2b 214、(x 2-xy+y )-3(x 2+xy-2y )= -2x 2-4xy+7y15、3x2-[7x-(4x-3)-2x2]=5x2-3x-316、a 2b-[2(a 2b-2a 2c )-(2bc+a 2c )]= -a 2b+2bc+6a 2c 17、-2y 3+(3xy 2-x 2y )-2(xy 2-y 3)= xy 2-x 2y 18、2(2x-3y )-(3x+2y+1)=2x-8y-1 19、-(3a 2-4ab )+[a 2-2(2a+2ab )]=-2a 2-4a20、5m-7n-8p+5n-9m-p = -4m-2n-9p 21、(5x 2y-7xy 2)-(xy 2-3x 2y )=4xy 2-4x 2y22、3(-3a 2-2a )-[a 2-2(5a-4a 2+1)-3a]=-18a 2 +7a+223、3a 2-9a+5-(-7a 2+10a-5)=10a 2-19a+10 24、-3a 2b-(2ab 2-a 2b )-(2a 2b+4ab 2)= -4a 2b-64ab 2 25、(5a-3a 2+1)-(4a 3-3a 2)=5a-4a 2+1 26、-2(ab-3a 2)-[2b 2-(5ab+a 2)+2ab]=7a2+ab-2b227、(8xy -x 2+y 2)+(-y 2+x 2-8xy )=028、(2x 2-21+3x )-4(x -x 2+21) = 6x 2-x-25 29、3x 2-[7x -(4x -3)-2x 2]= 5x 2-3x -330、5a+(4b-3a )-(-3a+b )= 5a+3b31、(3a2-3ab+2b2)+(a2+2ab-2b2)= 4a2-ab32、2a 2b+2ab 2-[2(a 2b-1)+2ab 2+2].= -133、(2a 2-1+2a )-3(a-1+a 2)= -a 2-a+234、2(x 2-xy )-3(2x 2-3xy )-2[x 2-(2x 2-xy+y 2)]=-2x 2+5xy-2y 235、-32ab +43a 2b +ab +(-43a 2b )-1 = 31ab-136、(8xy -x 2+y 2)+(-y 2+x 2-8xy )=037、2x -(3x -2y +3)-(5y -2)=-x-3y-138、-(3a +2b )+(4a -3b +1)-(2a -b -3)= -a-4b+4 39、4x 3-(-6x 3)+(-9x 3)= x 340、3-2xy +2yx 2+6xy -4x 2y = -2 x 2y+4 41、 1-3(2ab +a )十[1-2(2a -3ab )]=2-7a 42、 3x -[5x +(3x -2)]=-5x+2 43、(3a 2b -ab 2)-(ab 2+3a 2b )= -2ab 244、()[]{}y x x y x --+--32332 = 5x+y45、(-x 2+5+4x 3)+(-x 3+5x -4)= 3x 3-x 2+5x+146、(5a 2-2a+3)-(1-2a+a 2)+3(-1+3a-a 2)=a 2+9a-1 47、5(3a 2b-ab 2)-4(-ab 2+3a 2b ).=3a 2b-ab 248、4a 2+2(3ab-2a 2)-(7ab-1)=1-ab49、21xy+(-41xy )-2xy 2-(-3y 2x )=41xy+xy250、5a 2-[a 2-(5a 2-2a )-2(a 2-3a )]=11a 2-8a51、5m-7n-8p+5n-9m+8p=-4m-2n52、(5x 2y-7xy 2)-(xy 2-3x 2y )=8x 2y-6xy 253、 3x 2y-[2x 2y-3(2xy-x 2y )-xy]=-2x 2y+7xy54、 3x 2-[5x-4(21x 2-1)]+5x 2 = 10x2-5x-455、2a 3b-21a 3b-a 2b+21a 2b-ab 2 =23a 3b- 21a 2b-ab 256、(a 2+4ab-4b 2)-3(a 2+b 2)-7(b 2-ab )=-2a 2+11ab-14b 2 57、a 2+2a 3+(-2a 3)+(-3a 3)+3a 2 = -3a 3+4a 258、5ab+(-4a 2b 2)+8ab 2-(-3ab )+(-a 2b )+4a 2b 2=8ab+8ab 2-a 2b59、(7y-3z )-(8y-5z )=-y+2z60、-3(2x 2-xy )+4(x 2+xy-6)=-2x 2+7xy-2461、(x 3+3x 2y-5xy 2+9y 3)+(-2y 3+2xy 2+x 2y-2x 3)-(4x 2y-x 3-3xy 2+7y 3)=062、-3x 2y+2x 2y+3xy 2-2xy 2 = -x 2y+xy 263、3(a 2-2ab )-2(-3ab+b 2)=3a 2-2b 264、5abc-{2a 2b-[3abc-(4a 2b-ab 2]}=8abc-6a 2b+ab 2 65、5m 2-[m 2+(5m 2-2m )-2(m 2-3m )]=m 2-4m 66、-[2m-3(m-n+1)-2]-1=m-3n+4 67、31a-( 21a-4b-6c)+3(-2c+2b)= -61a+10b 68、 -5a n -a n -(-7a n )+(-3a n )= -2a n69、x 2y-3xy 2+2yx 2-y 2x=3x 2y-4xy 2 70、41a 2b-0.4ab 2-21a 2b+52ab 2 = -41a 2b71、3a-{2c-[6a-(c-b )+c+(a+8b-6)]}= 10a+9b-2c-672、-3(xy-2x 2)-[y 2-(5xy-4x 2)+2xy]= 2x 2-y273、化简、求值21x 2-2212- (x + y )2⎡⎤⎢⎥⎣⎦-23(-32x 2+31y 2),其中x =-2, y =-34原式=2x 2+21y 2-2 =69874、化简、求值21x -2(x -31y 2)+(-23x +31y 2),其中x =-2,y =-32.原式=-3x+y 2=69475、x x x x x x 5)64(213223312323-++-⎪⎭⎫ ⎝⎛---其中x =-121;原式=x 3+x 2-x+6=68376、 化简,求值(4m+n )-[1-(m-4n )],m=52 n=-131 原式=5m-3n-1=577、化简、求值2(a 2b +2b 3-ab 3)+3a 3-(2ba 2-3ab 2+3a 3)-4b 3,其中a =-3,b =2原式=-2ab 3+3ab 2=1278、化简,求值:(2x 3-xyz )-2(x 3-y 3+xyz )+(xyz-2y 3),其中x=1,y=2,z=-3. 原式=-2xyz=679、化简,求值:5x 2-[3x-2(2x-3)+7x 2],其中x=-2. 原式=-2x2+x-6=-16 80、若两个多项式的和是2x 2+xy+3y 2,一个加式是x 2-xy ,求另一个加式. (2x 2+xy+3y 2 )——( x 2-xy )= x 2+2xy+3y 281、若2a 2-4ab+b 2与一个多项式的差是-3a 2+2ab-5b 2,试求这个多项式.(2a 2-4ab+b 2)—(-3a 2+2ab-5b 2)=5a 2 -6ab+6b 282、求5x 2y -2x 2y 与-2xy 2+4x 2y 的和.(5x 2y -2x 2y )+(-2xy 2+4x 2y )=3xy 2+2x 2y 83、 求3x 2+x -5与4-x +7x 2的差.(3x 2+x -5)—(4-x +7x 2)=—4x 2+2x -9 84、计算 5y+3x+5z 2与12y+7x-3z2的和(5y+3x+5z 2)+(12y+7x-3z 2)=17y+10x+2z285、计算8xy2+3x 2y-2与-2x2y+5xy 2-3的差(8xy2+3x 2y-2)—(-2x 2y+5xy 2-3)=5x2y+3xy 2+186、 多项式-x 2+3xy-21y 与多项式M 的差是-21x 2-xy+y ,求多项式MM=-21x 2+4xy —23y 87x=- 21,y=-3时,求代数式3(x 2-2xy )-[3x 2-2y+2(xy+y )]的值.原式=-8xy+y= —15 88、化简再求值5abc-{2a 2b-[3abc-(4ab2-a2b )]-2ab2},其中a=-2,b=3,c=-41原式=83abc-a 2b-2ab2=3689、已知A=a2-2ab+b 2,B=a 2+2ab+b2(1)求A+B ; (2)求41(B-A);A+B=2a2+2b241(B-A)=ab90、小明同学做一道题,已知两个多项式A ,B ,计算A+B ,他误将A+B 看作A-B ,求得 9x 2-2x+7,若B=x 2+3x-2,你能否帮助小明同学求得正确答案? A=10x 2+x+5 A+B=11x 2+4x+391、已知:M=3x 2+2x-1,N=-x 2-2+3x ,求M-2N . M-2N=5x 2-4x+3 92、已知222244,5A x xy y B x xy y =-+=+-,求3A -B3A -B=11x 2-13xy+8y293、已知A =x 2+xy +y 2,B =-3xy -x 2,求2A -3B . 2A -3B= 5x 2+11xy +2y 2 94、已知2-a +(b +1)2=0,求5ab 2-[2a 2b -(4ab 2-2a 2b )]的值.原式=9ab 2-4a 2b=3495、化简求值:5abc-2a 2b+[3abc-2(4ab 2-a 2b )],其中a 、b 、c 满足|a-1|+|b-2|+c 2=0. 原式=8abc-8a 2b=-3296、已知a ,b ,z 满足:(1)已知|x-2|+(y+3)2=0,(2)z 是最大的负整数,化简求值:2(x 2y+xyz )-3(x 2y-xyz )-4x 2y .原式=-5x 2y+5xyz=9097、已知a+b=7,ab=10,求代数式(5ab+4a+7b )+(6a-3ab )-(4ab-3b )的值. 原式=10a+10b-2ab=5098、已知m 2+3mn=5,求5m 2-[+5m 2-(2m 2-mn )-7mn-5]的值 原式=2m 2+6mn+5=1599、设A=2x 2-3xy+y 2+2x+2y ,B=4x 2-6xy+2y 2-3x-y ,若|x-2a|+(y-3)2=0,且B-2A=a ,求a的值.B-2A=-7x-5y=-14a-15=a a=-1100、有两个多项式:A =2a 2-4a +1,B =2(a 2-2a )+3,当a 取任意有理数时,请比较A 与B 的大小.A=2a 2-4a +1 B =2a 2-4a +3 所以A<B。
整式的加减练习100题(有答案)整式的加减专项练习100题1、3(a+5b)-2(b-a)2、3a-(2b-a)+b3、2(2a2+9b)+3(-5a2-4b)4、(x3-2y3-3x2y)-(3x3-3y3-7x2y)5、3x2-[7x-(4x-3)-2x2]6、(2xy-y)-(-y+yx)7、5(a2b-3ab2)-2(a2b-7ab)8、(-2ab+3a)-2(2a-b)+2ab9、(7m2n-5mn)-(4m2n-5mn)10、(5a2+2a-1)-4(3-8a+2a2).11、-3x2y+3xy2+2x2y-2xy2;12、2(a-1)-(2a-3)+3.13、-2(ab-3a2)-[2b2-(5ab+a2)+2ab]14、(x2-xy+y)-3(x2+xy-2y)15、3x2-[7x-(4x-3)-2x2]16、a2b-[2(a2b-2a2c)-(2bc+a2c)];17、-2y3+(3xy2-x2y)-2(xy2-y3).18、2(2x-3y)-(3x+2y+1)19、-(3a2-4ab)+[a2-2(2a+2ab)].20、5m-7n-8p+5n-9m-p;21、(5x2y-7xy2)-(xy2-3x2y);22、3(-3a2-2a)-[a2-2(5a-4a2+1)-3a].23、3a2-9a+5-(-7a2+10a-5);24、-3a2b-(2ab2-a2b)-(2a2b+4ab2).25、(5a-3a2+1)-(4a3-3a2);26、-2(ab-3a2)-[2b2-(5ab+a2)+2ab]27、(8xy-x2+y2)+(-y2+8xy);28、(2x2-21+3x)-4(x-x2+29、3x2-[7x-(4x-3)-2x2].30、5a+(4b-3a)-(-3a+b);31、(3a2-3ab+2b2)+(a2+2ab-2b2);32、2a2b+2ab2-[2(a2b-1)+2ab2+2].33、(2a2-1+2a)-3(a-1+a2);34、2(x2-xy)-3(2x2-3xy)-2[x2-(2x2-xy+y2)].35、 -32ab +43a 2b +ab +(-43a 2b )-136、(8xy -x 2+y 2)+(-y 2+x 2-8xy );37、2x -(3x -2y +3)-(5y;38、-(3a +2b )+(4a -3b +2a -b -3)39、4x 3-(-6x 3)+(-9x 3)40、3-2xy +2yx 2+6xy -4x 2y41、 1-3(2ab +a )十[1-2(2a -3ab )]. 42、 3x -[5x +(3x -2)];43、(3a 2b -ab 2)-(ab 2+3a 2b )44、()[]{}y x x y x --+--3233245、(-x 2+5+4x 3)+(-x 3-4)46、(5a 2-2a+3)-(1-2a+a 2)-1+3a-a 2).47、5(3a 2b-ab 2)-4b 2+3a 2b ).48、4a 2+2(3ab-2a 2)-b-1).49、 21xy+(-41xy )-2xy 2-y 2x )50、5a 2-[a 2-(5a 2-2a )-2(a 2-3a )]51、5m-7n-8p+5n-9m+8p52、(5x 2y-7xy 2)-(xy 2-3x 2y )53、 3x 2y-[2x 2y-3(2xy-x 2y )-xy]54、 3x 2-[5x-4( 21x 2-1)]+5x 255、2a3b- 21a 3b-a 2b+ 21a 2b-ab 2;56、(a 2+4ab-4b 2)-3(a 2+b 2)-7(b 2-ab ).57、a 2+2a 3+(-2a 3)+(-3a 3) 58、5ab+(-4a 2b 2)+8ab 2-ab )+(-a 2b )+4a 2b 2;59、(7y-3z )-(8y-5z );60、-3(2x 2-xy )+4(x 2+xy-6).61、(x 3+3x 2y-5xy 2+9y 3)+(-2y 3+2xy 2+x 2y-2x 3)-(4x 2y-x 3-3xy 2+7y 3)62、-3x 2y+2x 2y+3xy 2-2xy 2;63、3(a 2-2ab )-2(-3ab+b 2);64、5abc-{2a 2b-[3abc-(4a 2b-ab 2]}.65、5m 2-[m 2+(5m 2-2m )-2(m 2-3m )].66、-[2m-3(m-n+1)-2]-1. 67、31a-( 21a-4b-6c)+3(-2c+2b)68、 -5a n-a n-(-7a n)+(-3a n)69、x 2y-3xy 2+2yx 2-y 2x70、41a 2b-0.4ab 2- 21a 2b+ 52ab2;71、3a-{2c-[6a-(c-b )+c+(a+8b-6)]}72、-3(xy-2x 2)-[y 2-(5xy-4x 2)+2xy];73、化简、求值21x 2-2212- (x + y )2⎡⎤⎢⎥⎣⎦-23(-32x 2+31y 2),其中x =-2, y =-3474、化简、求值21x -2(x -31y 2)+(-23x +31y 2),其中x =-2,y =-32.75、x x x x x x 5)64(213223312323-++-⎪⎭⎫ ⎝⎛---其中x =-121;76、 化简,求值(4m+n )-[1-(m-4n )],m=52 n=-13177、化简、求值2(a 2b +2b3-ab 3)+3a 3-(2ba 2-3ab 2+3a 3)-4b 3,其中a =-3,b =278、化简,求值:(2x 3-xyz )-2(x 3-y 3+xyz )+(xyz-2y 3),其中x=1,y=2,z=-79、化简,求值:5x 2-[3x-2(2x-3)+7x 2],其中x=-2.80、若两个多项式的和是2x2+xy+3y2,一个加式是x2-xy,求另一个加式.81、若2a2-4ab+b2与一个多项式的差是-3a2+2ab-5b2,试求这个多项式.82、求5x2y-2x2y与-2xy2+4x2y的和.83、求3x2+x-5与4-x+7x2的差.84、计算5y+3x+5z2与12y+7x-3z2的和85、计算8xy2+3x2y-2与-2x2y+5xy2-3的差86、 多项式-x 2+3xy-21y 与多项式M 的差是-21x 2-xy+y ,求多项式M 87、当x=-21,y=-3时,求代数式3(x 2-2xy )-[3x 2-2y+2(xy+y )]的值.88、化简再求值5abc-{2a2b-[3abc-(4ab 2-a 2b )]-2ab 2},其中a=-2,b=3,c=-4189、已知A=a 2-2ab+b 2,B=a 2+2ab+b 2(1)求A+B ; (2)求41(B-A);90、小明同学做一道题,已知两个多项式A,B,计算A+B,他误将A+B看作A-B,求得9x2-2x+7,若B=x2+3x-2,你能否帮助小明同学求得正确答案?91、已知:M=3x2+2x-1,N=-x2-2+3x,求M-2N.92、已知222244,5A x xy yB x xy y=-+=+-,求3A-B93、已知A=x2+xy+y2,B =-3xy-x2,求2A-3B.94、已知2-a+(b+1)2=0,求5ab2-[2a2b-(4ab2-2a2b)]的值.95、化简求值:5abc-2a2b+[3abc-2(4ab2-a2b)],其中a、b、c满足|a-1|+|b-2|+c2=0.96、已知a,b,z满足:(1)已知|x-2|+(y+3)2=0,(2)z是最大的负整数,化简求值:2(x2y+xyz)-3(x2y-xyz)-4x2y.97、已知a+b=7,ab=10,求代数式(5ab+4a+7b)+(6a-3ab)-(4ab-3b)的值.98、已知m2+3mn=5,求5m2-[+5m2-(2m2-mn)-7mn-5]的值99、设A=2x2-3xy+y2+2x+2y,B=4x2-6xy+2y2-3x-y,若|x-2a|+(y-3)2=0,且B-2A=a,求a的值.100、有两个多项式:A=2a2-4a+1,B=2(a2-2a)+3,当a取任意有理数时,请比较A与B的大小.答案:1、3(a+5b)-2(b-a)=5a+13b2、3a-(2b-a)+b=4a-b.3、2(2a2+9b)+3(-5a2-4b)=—11a2+6b24、(x3-2y3-3x2y)-(3x3-3y3-7x2y)=-2x3+y3+4x2y5、3x2-[7x-(4x-3)-2x2] = 5x2-3x-36、(2xy-y)-(-y+yx)= xy7、5(a22b-3ab2)-2(a2b-7ab)= -a2b+11ab8、(-2ab+3a)-2(2a-b)+2ab=-2a+b9、(7m2n-5mn)-(4m2n-5mn)= 3m2n10、(5a2+2a-1)-4(3-8a+2a2)2+34a-1311、-3x2y+3xy2+2x2y-2xy2= -x2y+xy212、2(a-1)-(2a-3)+3.=413、-2(ab-3a2)-[2b2-(5ab+a2)+2ab]=7a2+ab-2b214、(x2-xy+y)-3(x2+xy-2y)= -2x2-4xy+7y15、3x2-[7x-(4x-3)-2x2]=5x2-3x-316、a2b-[2(a2b-2a2c)-(2bc+a2c)]= -a2b+2bc+6a2c17、-2y3+(3xy2-x2y)-2(xy2-y3)= xy2-x2y18、2(2x-3y)-(3x+2y+1)=2x-8y-119、-(3a2-4ab)+[a2-2(2a+2ab)]=-2a2-4a20、5m-7n-8p+5n-9m-p = -4m-2n-9p21、(5x2y-7xy2)-(xy2-3x2y)=4xy2-4x2y22、3(-3a2-2a)-[a2-2(5a-4a2+1)-3a]=-18a2 +7a+223、3a2-9a+5-(-7a2+10a-5)=10a2-19a+1024、-3a2b-(2ab2-a2b)-(2a2b+4ab2)= -4a2b-64ab225、(5a-3a 2+1)-(4a 3-3a 2)=5a-4a 2+126、-2(ab-3a 2)-[2b 2-(5ab+a 2)+2ab]=7a 2+ab-2b 227、(8xy -x 2+y 2)+(-y 2+8xy )=028、(2x 2-21+3x )-4(x -x2= 6x 2-x-2529、3x 2-[7x -(4x -3)-2x 2]= 5x 2-3x -330、5a+(4b-3a )-(-3a+b )+3b31、(3a 2-3ab+2b 2)++2ab-2b 2)= 4a 2-ab32、2a 2b+2ab 2-[2(a 2b-1)2+2].= -133、(2a 2-1+2a )-3(a-1+a 2)= -a 2-a+234、2(x 2-xy )-3(2x 2-3xy )(2x 2-xy+y 2)]=-2x 2+5xy-2y 235、-32ab +43a 2b +ab +(-43a 2b )-1 = 31ab-136、(8xy -x 2+y 2)+(-y 2+x 2-8xy )=0 37、2x -(3x -2y +3)-(5y-2)=-x-3y-138、-(3a +2b )+(4a -3b +1)-(2a -b -3)= -a-4b+439、4x 3-(-6x 3)+(-9x 3)= x 340、3-2xy +2yx 2+6xy -4x 2y = -2 x 2y+4 41、 1-3(2ab +a )十[1-2(2a -3ab )]=2-7a 42、 3x -[5x +(3x -2)]=-5x+2 43、(3a 2b -ab 2)-(ab 2+3a 2b )= -2ab 244、()[]{}y x x y x --+--32332 = 5x+y 45、(-x 2+5+4x 3)+(-x 3+5x -4)= 3x 3-x 2+5x+146、(5a 2-2a+3)-(1-2a+a 2)+3(-1+3a-a 2)=a 2+9a-147、5(3a 2b-ab 2)-4(-ab 2+3a 2b ).=3a 2b-ab 248、4a 2+2(3ab-2a 2)-(7ab-1)b 49、 21xy+(-41xy )-2xy 2-y 2x )=41xy+xy 250、5a 2-[a 2-(5a 2-2a )-23a )]=11a 2-8a51、n-8p+5n-9m+8p=-4m-2n52、(5x 2y-7xy 2)-(xy 2-3x 2y )-6xy 253、 3x 2y-[2x 2y-3(2xy-x 2y )=-2x 2y+7xy 54、3x 2-[5x-4(21x 2-1)]+5x 2 =10x 2-5x-455、2a 3b- 21a 3b-a 2b+ 21a 2b-ab 2 = 23a 3b-21a 2b-ab 256、(a 2+4ab-4b 2)-3(a 2+b 2)-7(b 2-ab )=-2a 2+11ab-14b 257、a 2+2a 3+(-2a 3)+(-3a 3)+3a2= -3a 3+4a 258、5ab+(-4a 2b 2)+8ab 2-(-3ab )+(-a 2b )+4a 2b 2=8ab+8ab 2-a 2b59、(7y-3z )-(8y-5z )=-y+2z60、-3(2x 2-xy )+4(x 2+xy-6)=-2x 2+7xy-24 61、(x 3+3x 2y-5xy 2+9y 3)+(-2y 3+2xy 2+x 2y-2x 3)-(4x 2y-x 3-3xy 2+7y 3)=062、-3x 2y+2x 2y+3xy 2-2xy 2=-x 2y+xy 263、3(a 2-2ab )-2(-3ab+b 2)=3a 2-2b 264、5abc-{2a 2b-[3abc-(4a 2b-ab 2]}=8abc-6a 2b+ab 265、5m 2-[m 2+(5m 2-2m )-2(m 2-3m )]=m 2-4m66、-[2m-3(m-n+1)-2]-1=m-3n+4 67、31a-( 21a-4b-6c)+3(-2c+2b)= -61a+10b 68、 -5a n-a n-(-7a n)+(-3a n)= -2a n69、x 2y-3xy 2+2yx 2-y 2x=3x 2y-4xy 271、41a2b-0.4ab 2- 21a2b+ 52ab2 =-41a 2b71、3a-{2c-[6a-(c-b )+c+(a+8b-6)]}= 10a+9b-2c-672、-3(xy-2x 2)-[y 2-(5xy-4x 2)+2xy]= 2x 2-y 273、化简、求值21x 2-2212- (x + y )2⎡⎤⎢⎥⎣⎦-23(-32x 2+31y 2),其中x =-2, y =-34 原式=2x 2+21y 2-274、化简、求值21x -2(x -31y 2)+(-23x +31y 2),其中x =-2,y =-32.原式=-3x+y 2=69475、x x x x x x 5)64(213223312323-++-⎪⎭⎫ ⎝⎛---其中x =-121; 原式=x 3+x 2-x+6=68376、 化简,求值(4m+n )-[1-(m-4n )],m=52n=-131原式=5m-3n-1=577、化简、求值2(a 2b +2b 3-ab 3)+3a 3-(2ba 2-3ab 2+3a 3)-4b 3,其中a =-3,b =2原式=-2ab 3+3ab 2=1278、化简,求值:(2x 3-xyz )-2(x 3-y 3+xyz )+(xyz-2y 3),其中x=1,y=2,z=-3. 原式=-2xyz=6 79、化简,求值:5x 2-[3x-2(2x-3)+7x 2],其中x=-2.原式=-2x 2+x-6=-1680、若两个多项式的和是2x 2+xy+3y 2,一个加式是x 2-xy ,求另一个加式.(2x 2+xy+3y 2 ) ——( x 2-xy )= x 2+2xy+3y 281、若2a 2-4ab+b 2与一个多项式的差是-3a 2+2ab-5b 2,试求这个多项式.( 2a 2-4ab+b 2 )—(-3a 2+2ab-5b 2)=5a 2 -6ab+6b 282、求5x 2y -2x 2y 与-2xy 2+4x 2y 的和.(5x 2y -2x 2y )+(-2xy 2+4x 2y )=3xy 2+2x 2y 83、 求3x 2+x -5与4-x +7x 2的差.(3x 2+x -5)—(4-x +7x 2)=—4x 2+2x -984、计算 5y+3x+5z 2与12y+7x-3z 2的和(5y+3x+5z 2)+(12y+7x-3z 2)=17y+10x+2z 285、计算8xy 2+3x 2y-2与-2x 2y+5xy 2-3的差(8xy 2+3x 2y-2)—(-2x 2y+5xy 2-3)=5x 2y+3xy 2+186、 多项式-x 2+3xy-21y 与多项式M 的差是-21x 2-xy+y ,求多项式MM=-21x 2+4xy —23y 87、当x=-21,y=-3时,求代数式3(x 2-2xy )-[3x 2-2y+2(xy+y )]的值.原式=-8xy+y= —15 88、化简再求值5abc-{2a2b-[3abc-(4ab 2-a 2b )]-2ab 2},其中a=-2,b=3,c=-41 原式=83abc-a 2b-2ab 2=3689、已知A=a 2-2ab+b 2,B=a 2+2ab+b 2(1)求A+B ; (2)求41(B-A); A+B=2a 2+2b 241(B-A)=ab 90、小明同学做一道题,已知两个多项式A ,B ,计算A+B ,他误将A+B 看作A-B ,求得9x2-2x+7,若B=x2+3x-2,你能否帮助小明同学求得正确答案?A=10x2+x+5A+B=11x2+4x+391、已知:M=3x2+2x-1,N=-x2-2+3x,求M-2N.M-2N=5x2-4x+3 92、已知222244,5A x xy yB x xy y=-+=+-,求3A -B3A-B=11x2-13xy+8y293、已知A=x2+xy+y2,B =-3xy-x2,求2A-3B.2A-3B= 5x2+11xy +2y294、已知2-a+(b+1)2=0,求5ab2-[2a2b-(4ab2-2a2b)]的值.原式=9ab2-4a2b=3495、化简求值:5abc-2a2b+[3abc-2(4ab2-a2b)],其中a、b、c 满足|a-1|+|b-2|+c2=0.原式=8abc-8a2b=-32 96、已知a,b,z满足:(1)已知|x-2|+(y+3)2=0,(2)z是最大的负整数,化简求值:2(x2y+xyz)-3(x2y-xyz)-4x2y.原式=-5x2y+5xyz=9097、已知a+b=7,ab=10,求代数式(5ab+4a+7b)+(6a-3ab)-(4ab-3b)的值.原式=10a+10b-2ab=5098、已知m2+3mn=5,求5m2-[+5m2-(2m2-mn)-7mn-5]的值原式=2m2+6mn+5=1599、设A=2x2-3xy+y2+2x+2y,B=4x2-6xy+2y2-3x-y,若|x-2a|+(y-3)2=0,且B-2A=a,求a的值.B-2A=-7x-5y=-14a-15=aa=-1100、有两个多项式:A=2a2-4a+1,B=2(a2-2a)+3,当a取任意有理数时,请比较A与B的大小.A=2a2-4a+1 B=2a2-4a+3 所以A<B。
整式的加减专项练习100题(有答案)1、3(a+5b)-2(b-a)2、3a-(2b-a)+b3、2(2a2+9b)+3(-5a2-4b)4、(x3-2y3-3x2y)-(3x3-3y3-7x2y)5、3x2-[7x-(4x-3)-2x2]6、(2xy-y)-(-y+yx)7、5(a2b-3ab2)-2(a2b-7ab)8、(-2ab+3a)-2(2a-b)+2ab9、(7m2n-5mn)-(4m2n-5mn)10、(5a2+2a-1)-4(3-8a+2a2).11、-3x2y+3xy2+2x2y-2xy2;12、2(a-1)-(2a-3)+3.13、-2(ab-3a2)-[2b2-(5ab+a2)+2ab]14、(x2-xy+y)-3(x2+xy-2y)15、3x2-[7x-(4x-3)-2x2]16、a2b-[2(a2b-2a2c)-(2bc+a2c)];17、-2y3+(3xy2-x2y)-2(xy2-y3).18、2(2x-3y)-(3x+2y+1)19、-(3a2-4ab)+[a2-2(2a+2ab)].20、5m-7n-8p+5n-9m-p;21、(5x2y-7xy2)-(xy2-3x2y);22、3(-3a2-2a)-[a2-2(5a-4a2+1)-3a].23、3a2-9a+5-(-7a2+10a-5);24、-3a 2b-(2ab 2-a 2b )-(2a 2b+4ab 2).25、(5a-3a 2+1)-(4a 3-3a 2);26、-2(ab-3a 2)-[2b 2-(5ab+a 2)+2ab]27、(8xy -x 2+y 2)+(-y 2+x 2-8xy );28、(2x 2-21+3x )-4(x -x 2+21);29、3x 2-[7x -(4x -3)-2x 2].30、5a+(4b-3a )-(-3a+b );31、(3a2-3ab+2b2)+(a2+2ab-2b2);32、2a2b+2ab2-[2(a2b-1)+2ab2+2].33、(2a 2-1+2a )-3(a-1+a 2);34、2(x 2-xy )-3(2x 2-3xy )-2[x 2-(2x 2-xy+y 2)].35、 -32ab +43a 2b +ab +(-43a 2b )-136、(8xy -x 2+y 2)+(-y 2+x 2-8xy );37、2x -(3x -2y +3)-(5y -2);38、-(3a +2b )+(4a -3b +1)-(2a -b -3)39、4x 3-(-6x 3)+(-9x 3)40、3-2xy +2yx 2+6xy -4x 2y41、 1-3(2ab +a )十[1-2(2a -3ab )].42、 3x -[5x +(3x -2)];43、(3a 2b -ab 2)-(ab 2+3a 2b )44、()[]{}y x x y x --+--3233245、(-x 2+5+4x 3)+(-x 3+5x -4)46、(5a 2-2a+3)-(1-2a+a 2)+3(-1+3a-a 2).47、5(3a 2b-ab 2)-4(-ab 2+3a 2b ).48、4a 2+2(3ab-2a 2)-(7ab-1).49、21xy+(-41xy )-2xy 2-(-3y 2x )50、5a 2-[a 2-(5a 2-2a )-2(a 2-3a )]51、5m-7n-8p+5n-9m+8p52、(5x 2y-7xy 2)-(xy 2-3x 2y )53、 3x 2y-[2x 2y-3(2xy-x 2y )-xy]54、 3x 2-[5x-4(21x 2-1)]+5x 255、2a 3b- 21a 3b-a 2b+21a 2b-ab 2;56、(a 2+4ab-4b 2)-3(a 2+b 2)-7(b 2-ab ).57、a 2+2a 3+(-2a 3)+(-3a 3)+3a 2;58、5ab+(-4a 2b 2)+8ab 2-(-3ab )+(-a 2b )+4a 2b 2;59、(7y-3z )-(8y-5z );60、-3(2x 2-xy )+4(x 2+xy-6).61、(x 3+3x 2y-5xy 2+9y 3)+(-2y 3+2xy 2+x 2y-2x 3)-(4x 2y-x 3-3xy 2+7y 3)62、-3x 2y+2x 2y+3xy 2-2xy 2;63、3(a 2-2ab )-2(-3ab+b 2);64、5abc-{2a 2b-[3abc-(4a 2b-ab 2]}.65、5m 2-[m 2+(5m 2-2m )-2(m 2-3m )].66、-[2m-3(m-n+1)-2]-1. 67、31a-( 21a-4b-6c)+3(-2c+2b) 68, -5a n -a n -(-7a n )+(-3a n )69、x 2y-3xy 2+2yx 2-y 2x 70, 41a 2b-0.4ab 2-21a 2b+52ab 2;71、3a-{2c-[6a-(c-b )+c+(a+8b-6)]} 72、-3(xy-2x 2)-[y 2-(5xy-4x 2)+2xy];73、化简、求值21x 2-2212- (x + y )2⎡⎤⎢⎥⎣⎦-23(-32x 2+31y 2),其中x =-2, y =-3474、化简、求值21x -2(x -31y 2)+(-23x +31y 2),其中x =-2,y =-32.75、x x x x x x 5)64(213223312323-++-⎪⎭⎫ ⎝⎛---其中x =-121;76、 化简,求值(4m+n )-[1-(m-4n )],m=52 n=-13177、化简、求值2(a 2b +2b 3-ab 3)+3a 3-(2ba 2-3ab 2+3a 3)-4b 3,其中a =-3,b =78、化简,求值:(2x 3-xyz )-2(x 3-y 3+xyz )+(xyz-2y 3),其中x=1,y=2,z=-3.79、化简,求值:5x 2-[3x-2(2x-3)+7x 2],其中x=-2.80、若两个多项式的和是2x 2+xy+3y 2,一个加式是x 2-xy ,求另一个加式.81、若2a 2-4ab+b 2与一个多项式的差是-3a 2+2ab-5b 2,试求这个多项式.82、求5x 2y -2x 2y 与-2xy 2+4x 2y 的和. 83、 求3x 2+x -5与4-x +7x 2的差.84、计算 5y+3x+5z2与12y+7x-3z2的和 85、计算8xy2+3x2y-2与-2x2y+5xy2-3的差86、 多项式-x 2+3xy-21y 与多项式M 的差是-21x 2-xy+y ,求多项式M87、当x=- 21,y=-3时,求代数式3(x 2-2xy )-[3x 2-2y+2(xy+y )]的值.88,化简再求值5abc-{2a 2b-[3abc-(4ab2-a2b )]-2ab2},其中a=-2,b=3,c=-4189、已知A=a2-2ab+b2,B=a2+2ab+b2(1)求A+B ;(2)求41(B-A);90、小明同学做一道题,已知两个多项式A ,B ,计算A+B ,他误将A+B 看作A-B ,求得9x 2-2x+7,若B=x 2+3x-2,你能否帮助小明同学求得正确答案?91、已知:M=3x 2+2x-1,N=-x 2-2+3x ,求M-2N .92、已知222244,5A x xy y B x xy y=-+=+-,求3A -B93、已知A =x 2+xy +y 2,B =-3xy -x 2,求2A -3B . 94、已知2-a +(b +1)2=0,求5ab 2-[2a 2b -(4ab 2-2a 2b )]的值.95、化简求值:5abc-2a 2b+[3abc-2(4ab 2-a 2b )],其中a 、b 、c 满足|a-1|+|b-2|+c 2=0.96、已知a ,b ,z 满足:(1)已知|x-2|+(y+3)2=0,(2)z 是最大的负整数,化简求值: 2(x 2y+xyz )-3(x 2y-xyz )-4x 2y .97、已知a+b=7,ab=10,求代数式(5ab+4a+7b )+(6a-3ab )-(4ab-3b )的值.98、已知m 2+3mn=5,求5m 2-[+5m 2-(2m 2-mn )-7mn-5]的值99、设A=2x 2-3xy+y 2+2x+2y ,B=4x 2-6xy+2y 2-3x-y ,若|x-2a|+(y-3)2=0,且B-2A=a ,求a 的值.100、有两个多项式:A =2a 2-4a +1,B =2(a 2-2a )+3,当a 取任意有理数时,请比较A 与B 的大小.答案:1、3(a+5b )-2(b-a )=5a+13b2、3a-(2b-a )+b=4a-b .3、2(2a 2+9b )+3(-5a 2-4b )=—11a2+6b24、(x 3-2y 3-3x 2y )-(3x 3-3y 3-7x 2y )= -2x 3+y 3+4x 2y5、3x 2-[7x-(4x-3)-2x 2] = 5x 2 -3x-36、(2xy-y )-(-y+yx )= xy7、5(a22b-3ab2)-2(a2b-7ab ) = -a2b+11ab8、(-2ab+3a )-2(2a-b )+2ab= -2a+b 9、(7m2n-5mn )-(4m2n-5mn )= 3m2n10、(5a 2+2a-1)-4(3-8a+2a 2)= -3a 2+34a-1311、-3x2y+3xy2+2x2y-2xy2= -x2y+xy 212、2(a-1)-(2a-3)+3.=413、-2(ab-3a 2)-[2b 2-(5ab+a2)+2ab]= 7a2+ab-2b 214、(x 2-xy+y )-3(x 2+xy-2y )= -2x 2-4xy+7y15、3x2-[7x-(4x-3)-2x2]=5x2-3x-316、a 2b-[2(a 2b-2a 2c )-(2bc+a 2c )]= -a 2b+2bc+6a 2c 17、-2y 3+(3xy 2-x 2y )-2(xy 2-y 3)= xy 2-x 2y 18、2(2x-3y )-(3x+2y+1)=2x-8y-1 19、-(3a 2-4ab )+[a 2-2(2a+2ab )]=-2a 2-4a20、5m-7n-8p+5n-9m-p = -4m-2n-9p 21、(5x 2y-7xy 2)-(xy 2-3x 2y )=4xy 2-4x 2y22、3(-3a 2-2a )-[a 2-2(5a-4a 2+1)-3a]=-18a 2 +7a+223、3a 2-9a+5-(-7a 2+10a-5)=10a 2-19a+10 24、-3a 2b-(2ab 2-a 2b )-(2a 2b+4ab 2)= -4a 2b-64ab 2 25、(5a-3a 2+1)-(4a 3-3a 2)=5a-4a 2+1 26、-2(ab-3a 2)-[2b 2-(5ab+a 2)+2ab]=7a2+ab-2b227、(8xy -x 2+y 2)+(-y 2+x 2-8xy )=028、(2x 2-21+3x )-4(x -x 2+21) = 6x 2-x-25 29、3x 2-[7x -(4x -3)-2x 2]= 5x 2-3x -330、5a+(4b-3a )-(-3a+b )= 5a+3b31、(3a2-3ab+2b2)+(a2+2ab-2b2)= 4a2-ab32、2a 2b+2ab 2-[2(a 2b-1)+2ab 2+2].= -133、(2a 2-1+2a )-3(a-1+a 2)= -a 2-a+234、2(x 2-xy )-3(2x 2-3xy )-2[x 2-(2x 2-xy+y 2)]=-2x 2+5xy-2y 235、-32ab +43a 2b +ab +(-43a 2b )-1 = 31ab-136、(8xy -x 2+y 2)+(-y 2+x 2-8xy )=037、2x -(3x -2y +3)-(5y -2)=-x-3y-138、-(3a +2b )+(4a -3b +1)-(2a -b -3)= -a-4b+4 39、4x 3-(-6x 3)+(-9x 3)= x 340、3-2xy +2yx 2+6xy -4x 2y = -2 x 2y+4 41、 1-3(2ab +a )十[1-2(2a -3ab )]=2-7a 42、 3x -[5x +(3x -2)]=-5x+2 43、(3a 2b -ab 2)-(ab 2+3a 2b )= -2ab 244、()[]{}y x x y x --+--32332 = 5x+y45、(-x 2+5+4x 3)+(-x 3+5x -4)= 3x 3-x 2+5x+146、(5a 2-2a+3)-(1-2a+a 2)+3(-1+3a-a 2)=a 2+9a-1 47、5(3a 2b-ab 2)-4(-ab 2+3a 2b ).=3a 2b-ab 248、4a 2+2(3ab-2a 2)-(7ab-1)=1-ab49、21xy+(-41xy )-2xy 2-(-3y 2x )=41xy+xy250、5a 2-[a 2-(5a 2-2a )-2(a 2-3a )]=11a 2-8a51、5m-7n-8p+5n-9m+8p=-4m-2n52、(5x 2y-7xy 2)-(xy 2-3x 2y )=8x 2y-6xy 253、 3x 2y-[2x 2y-3(2xy-x 2y )-xy]=-2x 2y+7xy54、 3x 2-[5x-4(21x 2-1)]+5x 2 = 10x2-5x-455、2a 3b-21a 3b-a 2b+21a 2b-ab 2 =23a 3b- 21a 2b-ab 256、(a 2+4ab-4b 2)-3(a 2+b 2)-7(b 2-ab )=-2a 2+11ab-14b 2 57、a 2+2a 3+(-2a 3)+(-3a 3)+3a 2 = -3a 3+4a 258、5ab+(-4a 2b 2)+8ab 2-(-3ab )+(-a 2b )+4a 2b 2=8ab+8ab 2-a 2b59、(7y-3z )-(8y-5z )=-y+2z60、-3(2x 2-xy )+4(x 2+xy-6)=-2x 2+7xy-2461、(x 3+3x 2y-5xy 2+9y 3)+(-2y 3+2xy 2+x 2y-2x 3)-(4x 2y-x 3-3xy 2+7y 3)=062、-3x 2y+2x 2y+3xy 2-2xy 2 = -x 2y+xy 263、3(a 2-2ab )-2(-3ab+b 2)=3a 2-2b 264、5abc-{2a 2b-[3abc-(4a 2b-ab 2]}=8abc-6a 2b+ab 2 65、5m 2-[m 2+(5m 2-2m )-2(m 2-3m )]=m 2-4m 66、-[2m-3(m-n+1)-2]-1=m-3n+4 67、31a-( 21a-4b-6c)+3(-2c+2b)= -61a+10b 68、 -5a n -a n -(-7a n )+(-3a n )= -2a n69、x 2y-3xy 2+2yx 2-y 2x=3x 2y-4xy 2 70、41a 2b-0.4ab 2-21a 2b+52ab 2 = -41a 2b71、3a-{2c-[6a-(c-b )+c+(a+8b-6)]}= 10a+9b-2c-672、-3(xy-2x 2)-[y 2-(5xy-4x 2)+2xy]= 2x 2-y273、化简、求值21x 2-2212- (x + y )2⎡⎤⎢⎥⎣⎦-23(-32x 2+31y 2),其中x =-2, y =-34原式=2x 2+21y 2-2 =69874、化简、求值21x -2(x -31y 2)+(-23x +31y 2),其中x =-2,y =-32.原式=-3x+y 2=69475、x x x x x x 5)64(213223312323-++-⎪⎭⎫ ⎝⎛---其中x =-121;原式=x 3+x 2-x+6=68376、 化简,求值(4m+n )-[1-(m-4n )],m=52 n=-131 原式=5m-3n-1=577、化简、求值2(a 2b +2b 3-ab 3)+3a 3-(2ba 2-3ab 2+3a 3)-4b 3,其中a =-3,b =原式=-2ab 3+3ab 2=1278、化简,求值:(2x 3-xyz )-2(x 3-y 3+xyz )+(xyz-2y 3),其中x=1,y=2,z=-3. 原式=-2xyz=679、化简,求值:5x 2-[3x-2(2x-3)+7x 2],其中x=-2. 原式=-2x2+x-6=-16 80、若两个多项式的和是2x 2+xy+3y 2,一个加式是x 2-xy ,求另一个加式. (2x 2+xy+3y 2 )——( x 2-xy )= x 2+2xy+3y 281、若2a 2-4ab+b 2与一个多项式的差是-3a 2+2ab-5b 2,试求这个多项式.( 2a 2-4ab+b 2)—(-3a 2+2ab-5b 2)=5a 2-6ab+6b 282、求5x 2y -2x 2y 与-2xy 2+4x 2y 的和.(5x 2y -2x 2y )+(-2xy 2+4x 2y )=3xy 2+2x 2y 83、 求3x 2+x -5与4-x +7x 2的差.(3x 2+x -5)—(4-x +7x 2)=—4x 2+2x -9 84、计算 5y+3x+5z 2与12y+7x-3z2的和(5y+3x+5z 2)+(12y+7x-3z 2)=17y+10x+2z285、计算8xy2+3x 2y-2与-2x2y+5xy 2-3的差(8xy2+3x 2y-2)—(-2x 2y+5xy 2-3)=5x2y+3xy 2+186、 多项式-x 2+3xy-21y 与多项式M 的差是-21x 2-xy+y ,求多项式MM=-21x 2+4xy —23y 87、当x=- 21,y=-3时,求代数式3(x 2-2xy )-[3x 2-2y+2(xy+y )]的值.原式=-8xy+y= —15 88、化简再求值5abc-{2a 2b-[3abc-(4ab2-a2b )]-2ab2},其中a=-2,b=3,c=-41原式=83abc-a 2b-2ab2=3689、已知A=a2-2ab+b 2,B=a 2+2ab+b2(1)求A+B ; (2)求41(B-A);A+B=2a2+2b241(B-A)=ab90、小明同学做一道题,已知两个多项式A ,B ,计算A+B ,他误将A+B 看作A-B ,求得 9x 2-2x+7,若B=x 2+3x-2,你能否帮助小明同学求得正确答案?A=10x 2+x+5 A+B=11x 2+4x+391、已知:M=3x 2+2x-1,N=-x 2-2+3x ,求M-2N . M-2N=5x 2-4x+3 92、已知222244,5A x xy y B x xy y =-+=+-,求3A -B3A -B=11x 2-13xy+8y293、已知A =x 2+xy +y 2,B =-3xy -x 2,求2A -3B . 2A -3B= 5x 2+11xy +2y 2 94、已知2-a +(b +1)2=0,求5ab 2-[2a 2b -(4ab 2-2a 2b )]的值.原式=9ab 2-4a 2b=3495、化简求值:5abc-2a 2b+[3abc-2(4ab 2-a 2b )],其中a 、b 、c 满足|a-1|+|b-2|+c 2=0. 原式=8abc-8a 2b=-3296、已知a ,b ,z 满足:(1)已知|x-2|+(y+3)2=0,(2)z 是最大的负整数,化简求值:2(x 2y+xyz )-3(x 2y-xyz )-4x 2y .原式=-5x 2y+5xyz=9097、已知a+b=7,ab=10,求代数式(5ab+4a+7b )+(6a-3ab )-(4ab-3b )的值. 原式=10a+10b-2ab=5098、已知m 2+3mn=5,求5m 2-[+5m 2-(2m 2-mn )-7mn-5]的值 原式=2m 2+6mn+5=1599、设A=2x 2-3xy+y 2+2x+2y ,B=4x 2-6xy+2y 2-3x-y ,若|x-2a|+(y-3)2=0,且B-2A=a ,求a的值.B-2A=-7x-5y=-14a-15=a a=-1100、有两个多项式:A =2a 2-4a +1,B =2(a 2-2a )+3,当a 取任意有理数时,请比较A 与B 的大小.A=2a 2-4a +1 B =2a 2-4a +3 所以A<B。
整式的加减专项练习100题1、 3(a+5b )-2(b —a )2、3a-(2b-a )+b2、3、2(2a 2+9b )+3(—5a 2-4b )4、(x 3-2y 3—3x 2y )—(3x 3-3y 3—7x 2y )5、3x 2—[7x-(4x-3)—2x 2]6、(2xy —y )-(-y+yx )7、5(a 2b-3ab 2)-2(a 2b-7ab ) 8、(-2ab+3a )-2(2a —b )+2ab9、(7m 2n —5mn )-(4m 2n —5mn ) 10、(5a 2+2a —1)—4(3-8a+2a 2).11、—3x 2y+3xy 2+2x 2y —2xy 2; 12、2(a-1)—(2a-3)+3.13、—2(ab —3a 2)-[2b 2—(5ab+a 2)+2ab] 14、(x 2-xy+y )—3(x 2+xy-2y)15、3x 2-[7x —(4x-3)-2x 2] 16、a 2b-[2(a 2b-2a 2c )-(2bc+a 2c )];17、—2y 3+(3xy 2-x 2y )-2(xy 2-y 3). 18、2(2x —3y )—(3x+2y+1)19、—(3a 2—4ab )+[a 2—2(2a+2ab )]. 20、5m-7n —8p+5n-9m-p ;21、(5x 2y-7xy 2)-(xy 2-3x 2y ); 22、3(—3a 2—2a )-[a 2-2(5a-4a 2+1)-3a].23、3a 2—9a+5—(-7a 2+10a —5); 24、-3a 2b —(2ab 2-a 2b )-(2a 2b+4ab 2).25、(5a —3a 2+1)—(4a 3-3a 2); 26、-2(ab-3a 2)—[2b 2—(5ab+a 2)+2ab ]27、(8xy -x 2+y 2)+(-y 2+x 2-8xy ); 28、(2x 2-21+3x )-4(x -x 2+21);29、3x 2-[7x -(4x -3)-2x 2]. 30、5a+(4b-3a)-(—3a+b );31、(3a2-3ab+2b2)+(a2+2ab-2b2); 32、2a2b+2ab2—[2(a2b-1)+2ab2+2].33、(2a 2—1+2a )-3(a-1+a 2); 34、2(x 2—xy )-3(2x 2-3xy)-2[x 2—(2x 2—xy+y 2)]. 35、-32ab +43a 2b +ab +(-43a 2b )-1 36、(8xy -x 2+y 2)+(-y 2+x 2-8xy );37、2x -(3x -2y +3)-(5y -2); 38、-(3a +2b )+(4a -3b +1)-(2a -b -3)39、4x 3-(-6x 3)+(-9x 3) 40、3-2xy +2yx 2+6xy -4x 2y41、 1-3(2ab +a )十[1-2(2a -3ab )]. 42、 3x -[5x +(3x -2)];43、(3a 2b -ab 2)-(ab 2+3a 2b ) 44、()[]{}y x x y x --+--3233245、(-x 2+5+4x 3)+(-x 3+5x -4) 46、(5a 2-2a+3)-(1—2a+a 2)+3(-1+3a-a 2).47、5(3a 2b —ab 2)—4(—ab 2+3a 2b ). 48、4a 2+2(3ab —2a 2)—(7ab —1).49、 21xy+(-41xy )—2xy 2-(-3y 2x ) 50、5a 2—[a 2-(5a 2—2a )—2(a 2—3a )] 51、5m-7n —8p+5n-9m+8p 52、(5x 2y —7xy 2)-(xy 2—3x 2y )55、 3x 2y —[2x 2y-3(2xy —x 2y )-xy] 54、55 56、(a 2+4ab —4b 2)—3(a 2+b 2)-7(b 2—ab ). 57、a 2+2a 3+(—2a 3)+(-3a 3)+3a 2; 58、5ab+(—4a 2b 2)+8ab 2—(-3ab )+(—a 2b )+4a 2b 2;59、(7y —3z )-(8y —5z ); 60、-3(2x 2—xy )+4(x 2+xy-6).61、 (x 3+3x 2y —5xy 2+9y 3)+(—2y 3+2xy 2+x 2y-2x 3)-(4x 2y —x 3—3xy 2+7y 3)62、62、—3x 2y+2x 2y+3xy 2-2xy 2; 63、3(a 2—2ab )—2(-3ab+b 2);64、 5abc-{2a 2b-[3abc —(4a 2b-ab 2]}. 65、5m 2-[m 2+(5m 2—2m )-2(m 2-3m )].65、66、—[2m —3(m-n+1)—2]—1. 67、31a-( 21a-4b-6c )+3(-2c+2b )68、-5a n —a n —(-7a n )+(—3a n ) 69、x 2y —3xy 2+2yx 2—y 2x7071、3a —{2c —[6a —(c —b )+c+(a+8b —6)]}72、—3(xy —2x 2)-[y 2—(5xy —4x 2)+2xy];73、化简、求值21x 2-2212- (x + y )2⎡⎤⎢⎥⎣⎦-23(-32x 2+31y 2),其中x =-2, y =-3474、 化简、求值21x -2(x -31y 2)+(-23x +31y 2),其中x =-2,y =-32.75、x x x x x x 5)64(213223312323-++-⎪⎭⎫ ⎝⎛---其中x =-121;76、化简,求值(4m+n )—[1-(m-4n )],m=52 n=—13177、化简、求值2(a 2b +2b 3-ab 3)+3a 3-(2ba 2-3ab 2+3a 3)-4b 3,其中a =-3,b =278、化简,求值:(2x 3-xyz )-2(x 3-y 3+xyz )+(xyz-2y 3),其中x=1,y=2,z=-3.79、 化简,求值:5x 2-[3x —2(2x-3)+7x 2],其中x=—2.80、若两个多项式的和是2x 2+xy+3y 2,一个加式是x 2-xy ,求另一个加式.81、若2a 2-4ab+b 2与一个多项式的差是—3a 2+2ab —5b 2,试求这个多项式.82、求5x 2y -2x 2y 与-2xy 2+4x 2y 的和.83、求3x 2+x -5与4-x +7x 2的差.84、计算 5y+3x+5z 2与12y+7x —3z 2的和85、计算8xy 2+3x 2y-2与-2x 2y+5xy 2-3的差86、多项式—x 2+3xy —21y 与多项式M 的差是-21x 2—xy+y ,求多项式M87、当x=— 21,y=-3时,求代数式3(x 2—2xy )-[3x 2-2y+2(xy+y )]的值.88、化简再求值5abc-{2a 2b-[3abc —(4ab 2—a 2b )]-2ab 2},其中a=—2,b=3,c=-4189、已知A=a 2-2ab+b 2,B=a 2+2ab+b 2(1)求A+B ;(2)求41(B-A);90、小明同学做一道题,已知两个多项式A ,B ,计算A+B ,他误将A+B 看作A —B,求得 9x 2—2x+7,若B=x 2+3x-2,你能否帮助小明同学求得正确答案?91、已知:M=3x 2+2x-1,N=—x 2—2+3x ,求M-2N .92、已知222244,5A x xy y B x xy y =-+=+-,求3A -B93、已知A =x 2+xy +y 2,B =-3xy -x 2,求2A -3B .94、已知2-a +(b +1)2=0,求5ab 2-[2a 2b -(4ab 2-2a 2b )]的值.95、化简求值:5abc —2a 2b+[3abc —2(4ab 2—a 2b )],其中a 、b 、c 满足|a —1|+|b-2|+c 2=0.96、已知a ,b ,z 满足:(1)已知|x-2|+(y+3)2=0,(2)z 是最大的负整数,化简求值: 2(x 2y+xyz )—3(x 2y —xyz )—4x 2y .97、已知a+b=7,ab=10,求代数式(5ab+4a+7b )+(6a —3ab )-(4ab-3b )的值.98、已知m 2+3mn=5,求5m 2—[+5m 2—(2m 2-mn )—7mn —5]的值99、设A=2x 2-3xy+y 2+2x+2y ,B=4x 2—6xy+2y 2—3x —y,若|x —2a |+(y-3)2=0,且B —2A=a ,求a 的值.100、有两个多项式:A =2a 2-4a +1,B =2(a 2-2a )+3,当a 取任意有理数时,请比较A 与B 的大小.答案:1、3(a+5b )-2(b —a )=5a+13b2、3a —(2b —a)+b=4a —b .3、2(2a 2+9b )+3(-5a 2-4b)=—11a 2+6b 2 4、(x 3-2y 3—3x 2y )—(3x 3-3y 3—7x 2y )= —2x 3+y 3+4x 2y5、3x 2-[7x —(4x-3)-2x 2] = 5x 2-3x —36、(2xy —y )-(—y+yx )= xy7、5(a 22b-3ab 2)-2(a 2b —7ab ) = -a 2b+11ab 8、(—2ab+3a )—2(2a —b )+2ab= -2a+b9、(7m 2n —5mn)—(4m 2n-5mn)= 3m 2n10、(5a 2+2a —1)—4(3-8a+2a 2)= -3a 2+34a —1311、—3x 2y+3xy 2+2x 2y-2xy 2= -x 2y+xy 212、2(a-1)-(2a-3)+3.=413、-2(ab —3a 2)-[2b 2—(5ab+a 2)+2ab]= 7a 2+ab-2b 214、(x 2—xy+y )-3(x 2+xy —2y )= —2x 2-4xy+7y15、3x 2-[7x-(4x —3)-2x 2]=5x 2—3x-3 16、a 2b-[2(a 2b —2a 2c )-(2bc+a 2c)]= —a 2b+2bc+6a 2c17、-2y 3+(3xy 2—x 2y )-2(xy 2-y 3)= xy 2—x 2y18、2(2x —3y )—(3x+2y+1)=2x —8y-119、-(3a 2—4ab )+[a 2—2(2a+2ab )]=—2a 2—4a20、5m-7n —8p+5n —9m —p = -4m-2n —9p21、(5x 2y-7xy 2)—(xy 2-3x 2y)=4xy 2-4x 2y22、3(—3a 2-2a)-[a 2—2(5a-4a 2+1)-3a]=-18a 2 +7a+223、3a 2-9a+5—(-7a 2+10a-5)=10a 2—19a+10 24、—3a 2b-(2ab 2—a 2b )—(2a 2b+4ab 2)= -4a 2b-64ab 225、(5a-3a 2+1)—(4a 3—3a 2)=5a —4a 2+1 26、-2(ab-3a 2)-[2b 2-(5ab+a 2)+2ab]=7a 2+ab —2b 227、(8xy -x 2+y 2)+(-y 2+x 2-8xy )=0 28、(2x 2-21+3x )-4(x -x 2+21) = 6x 2—x —25 29、3x 2-[7x -(4x -3)-2x 2]= 5x 2-3x -330、5a+(4b —3a )-(-3a+b )= 5a+3b31、(3a 2—3ab+2b 2)+(a 2+2ab-2b 2)= 4a 2—ab32、2a 2b+2ab 2-[2(a 2b —1)+2ab 2+2].= —133、(2a 2—1+2a )—3(a-1+a 2)= -a 2—a+234、2(x 2—xy )—3(2x 2—3xy )-2[x 2—(2x 2—xy+y 2)]=-2x 2+5xy-2y 235、-32ab +43a 2b +ab +(-43a 2b )-1 = 31ab —1 36、(8xy -x 2+y 2)+(-y 2+x 2-8xy )=037、2x -(3x -2y +3)-(5y -2)=-x —3y-138、-(3a +2b )+(4a -3b +1)-(2a -b -3)= —a —4b+439、4x 3-(-6x 3)+(-9x 3)= x 340、3-2xy +2yx 2+6xy -4x 2y = -2 x 2y+441、 1-3(2ab +a )十[1-2(2a -3ab )]=2—7a42、 3x -[5x +(3x -2)]=-5x+243、(3a 2b -ab 2)-(ab 2+3a 2b )= -2ab 244、()[]{}y x x y x --+--32332 = 5x+y45、(-x 2+5+4x 3)+(-x 3+5x -4)= 3x 3-x 2+5x+146、(5a 2-2a+3)—(1-2a+a 2)+3(—1+3a —a 2)=a 2+9a-147、5(3a 2b —ab 2)—4(—ab 2+3a 2b).=3a 2b-ab 248、4a 2+2(3ab-2a 2)—(7ab —1)=1-ab49、 21xy+(-41xy )—2xy 2-(—3y 2x)=41xy+xy 250、5a 2—[a 2—(5a 2—2a )—2(a 2—3a)]=11a 2—8a51、5m-7n-8p+5n —9m+8p=—4m —2n59、(7y-3z)—(8y-5z )=-y+2z60、—3(2x 2—xy )+4(x 2+xy —6)=—2x 2+7xy-2461、(x 3+3x 2y —5xy 2+9y 3)+(—2y 3+2xy 2+x 2y —2x 3)—(4x 2y —x 3-3xy 2+7y 3)=062、-3x 2y+2x 2y+3xy 2-2xy 2 = —x 2y+xy 263、3(a 2—2ab)—2(—3ab+b 2)=3a 2—2b 264、5abc —{2a 2b —[3abc-(4a 2b —ab 2]}=8abc-6a 2b+ab 265、5m 2—[m 2+(5m 2-2m )-2(m 2—3m )]=m 2—4m66、-[2m-3(m —n+1)—2]—1=m-3n+467、31a —( 21a —4b —6c )+3(—2c+2b )= -61a+10b 68、 -5a n -a n -(—7a n )+(-3a n )= —2a n69、x 2y-3xy 2+2yx 2—y 2x=3x 2y-4xy 270、 41a 2b-0.4ab 2- 21a 2b+ 52ab 2 = -41a 2b71、3a-{2c-[6a-(c-b)+c+(a+8b —6)]}= 10a+9b —2c-672、—3(xy —2x 2)—[y 2—(5xy-4x 2)+2xy]= 2x 2—y 2 73、化简、求值21x 2-2212- (x + y )2⎡⎤⎢⎥⎣⎦-23(-32x 2+31y 2),其中x =-2, y =-34 原式=2x 2+21y 2-2 =698 74、化简、求值21x -2(x -31y 2)+(-23x +31y 2),其中x =-2,y =-32. 原式=-3x+y 2=694 75、x x x x x x 5)64(213223312323-++-⎪⎭⎫ ⎝⎛---其中x =-121; 原式=x 3+x 2—x+6=68376、 化简,求值(4m+n)-[1—(m-4n)],m=52 n=—131 原式=5m —3n —1=577、化简、求值2(a 2b +2b 3-ab 3)+3a 3-(2ba 2-3ab 2+3a 3)-4b 3,其中a =-3,b =2原式=—2ab 3+3ab 2=1278、化简,求值:(2x 3—xyz )—2(x 3-y 3+xyz )+(xyz-2y 3),其中x=1,y=2,z=—3. 原式=-2xyz=679、化简,求值:5x 2-[3x —2(2x-3)+7x 2],其中x=—2. 原式=-2x 2+x-6=-1680、若两个多项式的和是2x 2+xy+3y 2,一个加式是x 2-xy,求另一个加式.(2x 2+xy+3y 2 ) ——( x 2—xy )= x 2+2xy+3y 281、若2a 2-4ab+b 2与一个多项式的差是—3a 2+2ab —5b 2,试求这个多项式.( 2a 2—4ab+b 2 )—(-3a 2+2ab-5b 2)=5a 2 -6ab+6b 282、求5x 2y -2x 2y 与-2xy 2+4x 2y 的和.(5x 2y -2x 2y)+(-2xy 2+4x 2y)=3xy 2+2x 2y83、 求3x 2+x -5与4-x +7x 2的差.(3x 2+x -5)—(4-x +7x 2)=-4x 2+2x -984、计算 5y+3x+5z 2与12y+7x —3z 2的和(5y+3x+5z 2)+(12y+7x —3z 2)=17y+10x+2z 285、计算8xy 2+3x 2y —2与—2x 2y+5xy 2—3的差(8xy 2+3x 2y-2)—(—2x 2y+5xy 2—3)=5x 2y+3xy 2+186、 多项式-x 2+3xy —21y 与多项式M 的差是—21x 2—xy+y,求多项式M23y 87、当3(x 2-2xy)—[3x 2-2y+2(xy+y)]的值. 原式=—8xy+y= -1588、化简再求值5abc —{2a 2b —[3abc —(4ab 2—a 2b )]-2ab 2},其中a=-2,b=3,c=-41 原式=83abc —a 2b —2ab 2=3689、已知A=a 2-2ab+b 2,B=a 2+2ab+b 2(1)求A+B ;(2)求41(B —A ); A+B=2a 2+2b 2 41(B —A)=ab 90、小明同学做一道题,已知两个多项式A ,B,计算A+B ,他误将A+B 看作A —B ,求得 9x 2-2x+7,若B=x 2+3x —2,你能否帮助小明同学求得正确答案?A=10x 2+x+5 A+B=11x 2+4x+391、已知:M=3x 2+2x —1,N=—x 2-2+3x ,求M —2N .M-2N=5x 2-4x+3 92、已知222244,5A x xy y B x xy y =-+=+-,求3A -B3A -B=11x 2-13xy+8y 293、已知A =x 2+xy +y 2,B =-3xy -x 2,求2A -3B .2A -3B= 5x 2+11xy +2y 294、已知2-a +(b +1)2=0,求5ab 2-[2a 2b -(4ab 2-2a 2b )]的值. 原式=9ab 2-4a 2b=3495、化简求值:5abc —2a 2b+[3abc-2(4ab 2-a 2b )],其中a 、b 、c 满足|a-1|+|b-2|+c 2=0. 原式=8abc-8a 2b=-32 96、已知a ,b ,z 满足:(1)已知|x-2|+(y+3)2=0,(2)z 是最大的负整数,化简求值:2(x2y+xyz)-3(x2y—xyz)—4x2y.原式=-5x2y+5xyz=9097、已知a+b=7,ab=10,求代数式(5ab+4a+7b)+(6a-3ab)—(4ab—3b)的值.原式=10a+10b—2ab=5098、已知m2+3mn=5,求5m2—[+5m2-(2m2—mn)-7mn—5]的值原式=2m2+6mn+5=1599、设A=2x2—3xy+y2+2x+2y,B=4x2—6xy+2y2-3x—y,若|x-2a|+(y—3)2=0,且B-2A=a,求a的值.B—2A=-7x-5y=—14a-15=a a=—1100、有两个多项式:A=2a2-4a+1,B=2(a2-2a)+3,当a取任意有理数时,请比较A与B 的大小.A=2a2-4a+1 B=2a2-4a+3 所以A<B。
整式的加减专项练习100题1、 3(a+5b )—2(b-a )2、3a —(2b-a )+b2、3、2(2a 2+9b)+3(-5a 2—4b )4、(x 3—2y 3—3x 2y )—(3x 3-3y 3—7x 2y)5、3x 2-[7x —(4x-3)—2x 2]6、(2xy —y )-(—y+yx )7、5(a 2b —3ab 2)-2(a 2b —7ab ) 8、(-2ab+3a)—2(2a-b )+2ab9、(7m 2n —5mn )-(4m 2n —5mn) 10、(5a 2+2a —1)—4(3—8a+2a 2).11、—3x 2y+3xy 2+2x 2y-2xy 2; 12、2(a —1)—(2a —3)+3.13、-2(ab —3a 2)-[2b 2-(5ab+a 2)+2ab] 14、(x 2—xy+y )—3(x 2+xy —2y )15、3x 2-[7x-(4x —3)—2x 2] 16、a 2b —[2(a 2b-2a 2c )-(2bc+a 2c)];17、—2y 3+(3xy 2—x 2y )—2(xy 2-y 3). 18、2(2x —3y )—(3x+2y+1)19、—(3a 2-4ab )+[a 2-2(2a+2ab )]. 20、5m-7n-8p+5n —9m —p ;21、(5x 2y —7xy 2)-(xy 2-3x 2y ); 22、3(—3a 2—2a )-[a 2—2(5a-4a 2+1)-3a ].23、3a 2-9a+5—(-7a 2+10a-5); 24、—3a 2b-(2ab 2-a 2b )—(2a 2b+4ab 2).25、(5a-3a 2+1)-(4a 3—3a 2); 26、-2(ab-3a 2)-[2b 2-(5ab+a 2)+2ab]27、(8xy -x 2+y 2)+(-y 2+x 2-8xy ); 28、(2x 2-21+3x )-4(x -x 2+21);29、3x 2-[7x -(4x -3)-2x 2]. 30、5a+(4b-3a)—(—3a+b );31、(3a2-3ab+2b2)+(a2+2ab —2b2); 32、2a2b+2ab2-[2(a2b-1)+2ab2+2].33、(2a 2—1+2a )-3(a —1+a 2); 34、2(x 2-xy )—3(2x 2—3xy)-2[x 2—(2x 2-xy+y 2)]. 35、-32ab +43a 2b +ab +(-43a 2b )-1 36、(8xy -x 2+y 2)+(-y 2+x 2-8xy );37、2x -(3x -2y +3)-(5y -2); 38、-(3a +2b )+(4a -3b +1)-(2a -b -3)39、4x 3-(-6x 3)+(-9x 3) 40、3-2xy +2yx 2+6xy -4x 2y41、 1-3(2ab +a )十[1-2(2a -3ab )]. 42、 3x -[5x +(3x -2)];43、(3a 2b -ab 2)-(ab 2+3a 2b ) 44、()[]{}y x x y x --+--3233245、(-x 2+5+4x 3)+(-x 3+5x -4) 46、(5a 2—2a+3)-(1—2a+a 2)+3(—1+3a-a 2).47、5(3a 2b-ab 2)—4(-ab 2+3a 2b). 48、4a 2+2(3ab —2a 2)—(7ab —1).49、 21xy+(-41xy )-2xy 2—(-3y 2x ) 50、5a 2—[a 2-(5a 2-2a )-2(a 2—3a )] 51、5m-7n-8p+5n —9m+8p 52、(5x 2y-7xy 2)-(xy 2-3x 2y )55、 3x 2y-[2x 2y-3(2xy —x 2y )-xy ] 54、55 56、(a 2+4ab —4b 2)—3(a 2+b 2)—7(b 2-ab ).57、a 2+2a 3+(-2a 3)+(-3a 3)+3a 2; 58、5ab+(-4a 2b 2)+8ab 2—(—3ab )+(—a 2b)+4a 2b 2;59、(7y —3z)—(8y-5z ); 60、-3(2x 2-xy)+4(x 2+xy-6). 61、 (x 3+3x 2y-5xy 2+9y 3)+(-2y 3+2xy 2+x 2y-2x 3)—(4x 2y-x 3-3xy 2+7y 3)62、62、-3x 2y+2x 2y+3xy 2-2xy 2; 63、3(a 2—2ab)—2(—3ab+b 2);64、 5abc-{2a 2b-[3abc-(4a 2b-ab 2]}. 65、5m 2—[m 2+(5m 2-2m)-2(m 2—3m )]. 65、66、-[2m-3(m-n+1)-2]-1. 67、31a-( 21a-4b-6c )+3(—2c+2b )68、-5a n —a n —(-7a n )+(-3a n ) 69、x 2y —3xy 2+2yx 2-y 2x7071、3a-{2c —[6a —(c-b )+c+(a+8b-6)]}72、-3(xy-2x 2)—[y 2—(5xy —4x 2)+2xy ];73、化简、求值21x 2-2212- (x + y )2⎡⎤⎢⎥⎣⎦-23(-32x 2+31y 2),其中x =-2, y =-3474、 化简、求值21x -2(x -31y 2)+(-23x +31y 2),其中x =-2,y =-32.75、x x x x x x 5)64(213223312323-++-⎪⎭⎫ ⎝⎛---其中x =-121; 76、化简,求值(4m+n )-[1—(m —4n )],m=52 n=-13177、化简、求值2(a 2b +2b 3-ab 3)+3a 3-(2ba 2-3ab 2+3a 3)-4b 3,其中a =-3,b =278、化简,求值:(2x 3—xyz )—2(x 3—y 3+xyz )+(xyz-2y 3),其中x=1,y=2,z=—3.79、 化简,求值:5x 2-[3x —2(2x —3)+7x 2],其中x=-2.80、若两个多项式的和是2x 2+xy+3y 2,一个加式是x 2-xy ,求另一个加式.81、若2a 2—4ab+b 2与一个多项式的差是-3a 2+2ab-5b 2,试求这个多项式.82、求5x 2y -2x 2y 与-2xy 2+4x 2y 的和.83、求3x 2+x -5与4-x +7x 2的差.84、计算 5y+3x+5z 2与12y+7x —3z 2的和85、计算8xy 2+3x 2y —2与—2x 2y+5xy 2-3的差86、多项式—x 2+3xy —21y 与多项式M 的差是—21x 2—xy+y ,求多项式M87、当x=- 21,y=-3时,求代数式3(x 2-2xy )-[3x 2—2y+2(xy+y )]的值.88、化简再求值5abc —{2a 2b-[3abc-(4ab 2-a 2b)]-2ab 2},其中a=-2,b=3,c=—4189、已知A=a 2—2ab+b 2,B=a 2+2ab+b 2(1)求A+B ;(2)求41(B-A);90、小明同学做一道题,已知两个多项式A ,B ,计算A+B ,他误将A+B 看作A-B,求得 9x 2-2x+7,若B=x 2+3x —2,你能否帮助小明同学求得正确答案?91、已知:M=3x 2+2x-1,N=-x 2-2+3x ,求M —2N .92、已知222244,5A x xy y B x xy y =-+=+-,求3A -B93、已知A =x 2+xy +y 2,B =-3xy -x 2,求2A -3B .94、已知2-a +(b +1)2=0,求5ab 2-[2a 2b -(4ab 2-2a 2b )]的值.95、化简求值:5abc-2a 2b+[3abc-2(4ab 2-a 2b)],其中a 、b 、c 满足|a-1|+|b —2|+c 2=0.96、已知a,b,z 满足:(1)已知|x —2|+(y+3)2=0,(2)z 是最大的负整数,化简求值: 2(x 2y+xyz)—3(x 2y-xyz)-4x 2y .97、已知a+b=7,ab=10,求代数式(5ab+4a+7b)+(6a-3ab)—(4ab-3b )的值.98、已知m 2+3mn=5,求5m 2-[+5m 2—(2m 2—mn )—7mn —5]的值99、设A=2x 2-3xy+y 2+2x+2y ,B=4x 2-6xy+2y 2—3x-y ,若|x-2a|+(y —3)2=0,且B —2A=a ,求a 的值.100、有两个多项式:A =2a 2-4a +1,B =2(a 2-2a )+3,当a 取任意有理数时,请比较A 与B 的大小.答案:1、3(a+5b)—2(b —a )=5a+13b2、3a —(2b-a )+b=4a-b .3、2(2a 2+9b )+3(—5a 2—4b )=-11a 2+6b 24、(x 3—2y 3-3x 2y )—(3x 3—3y 3-7x 2y )= -2x 3+y 3+4x 2y5、3x 2-[7x —(4x-3)-2x 2] = 5x 2—3x-36、(2xy-y )—(-y+yx)= xy7、5(a 22b —3ab 2)-2(a 2b-7ab) = -a 2b+11ab8、(—2ab+3a )—2(2a —b )+2ab= -2a+b9、(7m 2n-5mn)-(4m 2n —5mn )= 3m 2n10、(5a 2+2a-1)—4(3-8a+2a 2)= —3a 2+34a-1311、-3x 2y+3xy 2+2x 2y-2xy 2= —x 2y+xy 212、2(a-1)—(2a-3)+3.=413、-2(ab-3a 2)-[2b 2—(5ab+a 2)+2ab]= 7a 2+ab-2b 214、(x 2—xy+y )-3(x 2+xy —2y )= —2x 2—4xy+7y15、3x 2—[7x-(4x —3)-2x 2]=5x 2-3x —316、a 2b-[2(a 2b-2a 2c )—(2bc+a 2c )]= —a 2b+2bc+6a 2c17、—2y 3+(3xy 2—x 2y)—2(xy 2-y 3)= xy 2-x 2y18、2(2x —3y )—(3x+2y+1)=2x-8y-119、-(3a 2-4ab )+[a 2—2(2a+2ab )]=-2a 2—4a20、5m —7n-8p+5n-9m —p = -4m —2n-9p21、(5x 2y —7xy 2)—(xy 2—3x 2y)=4xy 2-4x 2y22、3(—3a 2—2a )—[a 2—2(5a —4a 2+1)—3a]=—18a 2 +7a+223、3a 2—9a+5-(—7a 2+10a —5)=10a 2-19a+10 24、—3a 2b —(2ab 2-a 2b )-(2a 2b+4ab 2)= —4a 2b-64ab 225、(5a —3a 2+1)-(4a 3-3a 2)=5a —4a 2+1 26、-2(ab-3a 2)-[2b 2—(5ab+a 2)+2ab]=7a 2+ab —2b 227、(8xy -x 2+y 2)+(-y 2+x 2-8xy )=028、(2x 2-21+3x )-4(x -x 2+21) = 6x 2-x —25 29、3x 2-[7x -(4x -3)-2x 2]= 5x 2-3x -330、5a+(4b —3a )—(—3a+b )= 5a+3b31、(3a 2-3ab+2b 2)+(a 2+2ab —2b 2)= 4a 2—ab32、2a 2b+2ab 2-[2(a 2b-1)+2ab 2+2].= —133、(2a 2-1+2a )—3(a-1+a 2)= —a 2—a+234、2(x 2-xy)—3(2x 2-3xy)-2[x 2-(2x 2—xy+y 2)]=—2x 2+5xy —2y 2 35、-32ab +43a 2b +ab +(-43a 2b )-1 = 31ab —1 36、(8xy -x 2+y 2)+(-y 2+x 2-8xy )=037、2x -(3x -2y +3)-(5y -2)=—x —3y —138、-(3a +2b )+(4a -3b +1)-(2a -b -3)= —a —4b+439、4x 3-(-6x 3)+(-9x 3)= x 340、3-2xy +2yx 2+6xy -4x 2y = -2 x 2y+441、 1-3(2ab +a )十[1-2(2a -3ab )]=2-7a42、 3x -[5x +(3x -2)]=-5x+243、(3a 2b -ab 2)-(ab 2+3a 2b )= —2ab 244、()[]{}y x x y x --+--32332 = 5x+y45、(-x 2+5+4x 3)+(-x 3+5x -4)= 3x 3-x 2+5x+146、(5a 2—2a+3)—(1—2a+a 2)+3(—1+3a-a 2)=a 2+9a —147、5(3a 2b —ab 2)—4(-ab 2+3a 2b ).=3a 2b —ab 248、4a 2+2(3ab-2a 2)—(7ab-1)=1—ab49、 21xy+(—41xy )-2xy 2—(—3y 2x)=41xy+xy 250、5a 2-[a 2—(5a 2-2a )—2(a 2—3a )]=11a 2—8a51、5m-7n —8p+5n-9m+8p=—4m —2n59、(7y-3z )—(8y —5z )=-y+2z60、—3(2x 2-xy )+4(x 2+xy —6)=—2x 2+7xy-2461、(x 3+3x 2y-5xy 2+9y 3)+(—2y 3+2xy 2+x 2y —2x 3)-(4x 2y —x 3-3xy 2+7y 3)=062、-3x 2y+2x 2y+3xy 2-2xy 2 = -x 2y+xy 263、3(a 2-2ab)—2(—3ab+b 2)=3a 2-2b 264、5abc —{2a 2b —[3abc —(4a 2b-ab 2]}=8abc-6a 2b+ab 265、5m 2-[m 2+(5m 2—2m )-2(m 2-3m )]=m 2—4m66、—[2m —3(m —n+1)—2]-1=m —3n+467、31a —( 21a —4b —6c)+3(-2c+2b )= -61a+10b 68、 -5a n —a n -(—7a n )+(-3a n )= —2a n69、x 2y —3xy 2+2yx 2-y 2x=3x 2y-4xy 270、 41a 2b-0.4ab 2— 21a 2b+ 52ab 2 = -41a 2b71、3a-{2c-[6a —(c-b )+c+(a+8b —6)]}= 10a+9b-2c —672、-3(xy-2x 2)-[y 2—(5xy —4x 2)+2xy ]= 2x 2—y 2 73、化简、求值21x 2-2212- (x + y )2⎡⎤⎢⎥⎣⎦-23(-32x 2+31y 2),其中x =-2, y =-34 原式=2x 2+21y 2-2 =698 74、化简、求值21x -2(x -31y 2)+(-23x +31y 2),其中x =-2,y =-32. 原式=-3x+y 2=694 75、x x x x x x 5)64(213223312323-++-⎪⎭⎫ ⎝⎛---其中x =-121; 原式=x 3+x 2—x+6=68376、 化简,求值(4m+n )-[1—(m-4n)],m=52 n=-131 原式=5m-3n —1=577、化简、求值2(a 2b +2b 3-ab 3)+3a 3-(2ba 2-3ab 2+3a 3)-4b 3,其中a =-3,b =2原式=—2ab 3+3ab 2=1278、化简,求值:(2x 3-xyz)—2(x 3-y 3+xyz)+(xyz —2y 3),其中x=1,y=2,z=—3. 原式=—2xyz=679、化简,求值:5x 2—[3x —2(2x —3)+7x 2],其中x=-2. 原式=—2x 2+x —6=-1680、若两个多项式的和是2x 2+xy+3y 2,一个加式是x 2—xy,求另一个加式.(2x 2+xy+3y 2 ) —-( x 2—xy )= x 2+2xy+3y 281、若2a 2-4ab+b 2与一个多项式的差是—3a 2+2ab —5b 2,试求这个多项式.( 2a 2-4ab+b 2 )-(—3a 2+2ab-5b 2)=5a 2 -6ab+6b 282、求5x 2y -2x 2y 与-2xy 2+4x 2y 的和.(5x 2y -2x 2y )+(-2xy 2+4x 2y )=3xy 2+2x 2y83、 求3x 2+x -5与4-x +7x 2的差.(3x 2+x -5)—(4-x +7x 2)=—4x 2+2x -984、计算 5y+3x+5z 2与12y+7x —3z 2的和(5y+3x+5z 2)+(12y+7x-3z 2)=17y+10x+2z 285、计算8xy 2+3x 2y —2与—2x 2y+5xy 2—3的差(8xy 2+3x 2y-2)—(—2x 2y+5xy 2-3)=5x 2y+3xy 2+1 86、 多项式-x 2+3xy-21y 与多项式M 的差是-21x 2-xy+y ,求多项式M—23y 87、当3(x 2-2xy )-[3x 2—2y+2(xy+y )]的值. 原式=-8xy+y= —1588、化简再求值5abc-{2a 2b —[3abc-(4ab 2—a 2b )]—2ab 2},其中a=-2,b=3,c=—41 原式=83abc —a 2b —2ab 2=3689、已知A=a 2—2ab+b 2,B=a 2+2ab+b 2(1)求A+B ;(2)求41(B-A); A+B=2a 2+2b 2 41(B —A)=ab 90、小明同学做一道题,已知两个多项式A ,B,计算A+B,他误将A+B 看作A-B ,求得 9x 2-2x+7,若B=x 2+3x —2,你能否帮助小明同学求得正确答案?A=10x 2+x+5 A+B=11x 2+4x+391、已知:M=3x 2+2x-1,N=—x 2-2+3x ,求M —2N .M —2N=5x 2-4x+3 92、已知222244,5A x xy y B x xy y =-+=+-,求3A -B3A -B=11x 2-13xy+8y 293、已知A =x 2+xy +y 2,B =-3xy -x 2,求2A -3B .2A -3B= 5x 2+11xy +2y 294、已知2-a +(b +1)2=0,求5ab 2-[2a 2b -(4ab 2-2a 2b )]的值.原式=9ab 2-4a 2b=3495、化简求值:5abc-2a 2b+[3abc-2(4ab 2—a 2b )],其中a 、b 、c 满足|a-1|+|b-2|+c 2=0. 原式=8abc-8a 2b=—32 96、已知a,b ,z 满足:(1)已知|x —2|+(y+3)2=0,(2)z 是最大的负整数,化简求值:2(x2y+xyz)—3(x2y-xyz)-4x2y.原式=-5x2y+5xyz=9097、已知a+b=7,ab=10,求代数式(5ab+4a+7b)+(6a-3ab)—(4ab-3b)的值.原式=10a+10b-2ab=5098、已知m2+3mn=5,求5m2-[+5m2-(2m2—mn)-7mn—5]的值原式=2m2+6mn+5=1599、设A=2x2-3xy+y2+2x+2y,B=4x2-6xy+2y2-3x—y,若|x-2a|+(y—3)2=0,且B-2A=a,求a的值.B—2A=—7x-5y=—14a—15=a a=-1100、有两个多项式:A=2a2-4a+1,B=2(a2-2a)+3,当a取任意有理数时,请比较A 与B的大小.A=2a2-4a+1 B=2a2-4a+3 所以A<B。
整式的加减专项练习100题1、3(a+5b)-2(b-a)2、3a-(2b-a)+b3、2(2a2+9b)+3(-5a2-4b)4、(x3-2y3-3x2y)-(3x3-3y3-7x2y)5、3x2-[7x-(4x-3)-2x2]6、(2xy-y)-(-y+yx)7、5(a2b-3ab2)-2(a2b-7ab)8、(-2ab+3a)-2(2a-b)+2ab9、(7m2n-5mn)-(4m2n-5mn)10、(5a2+2a-1)-4(3-8a+2a2).11、-3x2y+3xy2+2x2y-2xy2;12、2(a-1)-(2a-3)+3.13、-2(ab-3a2)-[2b2-(5ab+a2)+2ab]14、(x2-xy+y)-3(x2+xy-2y)15、3x2-[7x-(4x-3)-2x2]16、a2b-[2(a2b-2a2c)-(2bc+a2c)];17、-2y3+(3xy2-x2y)-2(xy2-y3).18、2(2x-3y)-(3x+2y+1)19、-(3a2-4ab)+[a2-2(2a+2ab)].20、5m-7n-8p+5n-9m-p;21、(5x 2y-7xy 2)-(xy 2-3x 2y ); 22、3(-3a 2-2a )-[a 2-2(5a-4a 2+1)-3a]. 23、3a 2-9a+5-(-7a 2+10a-5); 24、-3a 2b-(2ab 2-a 2b )-(2a 2b+4ab 2). 25、(5a-3a 2+1)-(4a 3-3a 2);26、-2(ab-3a 2)-[2b 2-(5ab+a 2)+2ab] 27、(8xy -x 2+y 2)+(-y 2+x 2-8xy ); 28、(2x 2-21+3x )-4(x -x 2+21);29、3x 2-[7x -(4x -3)-2x 2].30、5a+(4b-3a )-(-3a+b );31、(3a2-3ab+2b2)+(a2+2ab-2b2); 32、2a2b+2ab2-[2(a2b-1)+2ab2+2]. 33、(2a 2-1+2a )-3(a-1+a 2); 34、2(x 2-xy )-3(2x 2-3xy )-2[x 2-(2x 2-xy+y 2)].35、 -32ab +43a 2b +ab +(-43a 2b )-136、(8xy -x 2+y 2)+(-y 2+x 2-8xy ); 37、2x -(3x -2y +3)-(5y -2);38、-(3a +2b )+(4a -3b +1)-(2a -b -3)39、4x 3-(-6x 3)+(-9x 3) 40、3-2xy +2yx 2+6xy -4x 2y41、 1-3(2ab +a )十[1-2(2a -3ab )].42、 3x -[5x +(3x -2)];43、(3a 2b -ab 2)-(ab 2+3a 2b )44、()[]{}y x x y x --+--3233245、(-x 2+5+4x 3)+(-x 3+5x -4)46、(5a 2-2a+3)-(1-2a+a 2)+3(-1+3a-a 2).47、5(3a 2b-ab 2)-4(-ab 2+3a 2b ).48、4a 2+2(3ab-2a 2)-(7ab-1).49、21xy+(-41xy )-2xy 2-(-3y 2x )50、5a 2-[a 2-(5a 2-2a )-2(a 2-3a )]51、5m-7n-8p+5n-9m+8p52、(5x 2y-7xy 2)-(xy 2-3x 2y )53、 3x 2y-[2x 2y-3(2xy-x 2y )-xy]5556、(a 2+4ab-4b 2)-3(a 2+b 2)-7(b 2-ab ).57、a 2+2a 3+(-2a 3)+(-3a 3)+3a 258、5ab+(-4a 2b 2)+8ab 2-(-3ab )+(-a 2b )+4a 2b 2;59、(7y-3z )-(8y-5z );60、-3(2x 2-xy )+4(x 2+xy-6).61、(x 3+3x 2y-5xy 2+9y 3)+(-2y 3+2xy 2+x 2y-2x 3)-(4x 2y-x 3-3xy 2+7y 3)62、-3x 2y+2x 2y+3xy 2-2xy 2;63、3(a 2-2ab )-2(-3ab+b 2);64、5abc-{2a 2b-[3abc-(4a 2b-ab 2]}.65、5m 2-[m 2+(5m 2-2m )-2(m 2-3m )].66、-[2m-3(m-n+1)-2]-1. 67、31a-( 21a-4b-6c)+3(-2c+2b)68、 -5a n-a n-(-7a n)+(-3a n)69、x 2y-3xy 2+2yx 2-y 2x70、41a 2b-0.4ab 2-21a 2b+52ab 2;71、3a-{2c-[6a-(c-b )+c+(a+8b-6)]}72、-3(xy-2x 2)-[y 2-(5xy-4x 2)+2xy];73、化简、求值21x 2-2212- (x + y )2⎡⎤⎢⎥⎣⎦-23(-32x 2+31y 2),其中x =-2, y =-3474、化简、求值21x -2(x -31y 2)+(-23x +31y 2),其中x =-2,y =-32.75、x x x x x x 5)64(213223312323-++-⎪⎭⎫ ⎝⎛---其中x =-121;76、 化简,求值(4m+n )-[1-(m-4n )],m=52 n=-13177、化简、求值2(a 2b +2b 3-ab 3)+3a 3-(2ba 2-3ab 2+3a 3)-4b 3,其中a =-3,b =278、化简,求值:(2x 3-xyz )-2(x 3-y 3+xyz )+(xyz-2y 3),其中x=1,y=2,z=-79、化简,求值:5x 2-[3x-2(2x-3)+7x 2],其中x=-2.80、若两个多项式的和是2x 2+xy+3y 2,一个加式是x 2-xy ,求另一个加式.81、若2a 2-4ab+b 2与一个多项式的差是-3a 2+2ab-5b 2,试求这个多项式.82、求5x 2y -2x 2y 与-2xy 2+4x 2y 的和.83、 求3x 2+x -5与4-x +7x 2的差.84、计算 5y+3x+5z 2与12y+7x-3z 2的和85、计算8xy 2+3x 2y-2与-2x 2y+5xy 2-3的差86、 多项式-x 2+3xy-21y 与多项式M 的差是-21x 2-xy+y ,求多项式M87、当求代数式3(x 2-2xy )-[3x 2-2y+2(xy+y )]的值.88、化简再求值5abc-{2a2b-[3abc-(4ab 2-a 2b )]-2ab 2},其中a=-2,b=3,c=-4189、已知A=a 2-2ab+b 2,B=a 2+2ab+b 2(1)求A+B ; (2)求41(B-A);90、小明同学做一道题,已知两个多项式A ,B ,计算A+B ,他误将A+B 看作A-B ,求得9x 2-2x+7,若B=x 2+3x-2,你能否帮助小明同学求得正确答案?91、已知:M=3x 2+2x-1,N=-x 2-2+3x ,求M-2N .92、已知222244,5A x xy y B x xy y =-+=+-,求3A -B93、已知A =x 2+xy +y 2,B =-3xy -x 2,求2A -3B .94、已知2 a +(b +1)2=0,求5ab 2-[2a 2b -(4ab 2-2a 2b )]的值.95、化简求值:5abc-2a 2b+[3abc-2(4ab 2-a 2b )],其中a 、b 、c 满足|a-1|+|b-2|+c 2=0.96、已知a ,b ,z 满足:(1)已知|x-2|+(y+3)2=0,(2)z 是最大的负整数,化简求值:2(x 2y+xyz )-3(x 2y-xyz )-4x 2y .97、已知a+b=7,ab=10,求代数式(5ab+4a+7b )+(6a-3ab )-(4ab-3b )的值.98、已知m 2+3mn=5,求5m 2-[+5m 2-(2m 2-mn )-7mn-5]的值99、设A=2x 2-3xy+y 2+2x+2y ,B=4x 2-6xy+2y 2-3x-y ,若|x-2a|+(y-3)2=0,且B-2A=a ,求a 的值.100、有两个多项式:A =2a 2-4a +1,B =2(a 2-2a )+3,当a 取任意有理数时,请比较A 与B 的大小.答案:1、3(a+5b )-2(b-a )=5a+13b2、3a-(2b-a )+b=4a-b .3、2(2a 2+9b )+3(-5a 2-4b )=—11a 2+6b 24、(x 3-2y 3-3x 2y )-(3x 3-3y 3-7x 2y )= -2x 3+y 3+4x 2y5、3x 2-[7x-(4x-3)-2x 2] = 5x 2-3x-3 6、(2xy-y )-(-y+yx )= xy7、5(a 22b-3ab 2)-2(a 2b-7ab ) = -a 2b+11ab8、(-2ab+3a )-2(2a-b )+2ab= -2a+b 9、(7m 2n-5mn )-(4m 2n-5mn )= 3m 2n10、(5a 2+2a-1)-4(3-8a+2a 2)= -3a 2+34a-13 11、-3x 2y+3xy 2+2x 2y-2xy 2= -x 2y+xy 212、2(a-1)-(2a-3)+3.=413、-2(ab-3a 2)-[2b 2-(5ab+a 2)+2ab]= 7a 2+ab-2b 214、(x 2-xy+y )-3(x 2+xy-2y )= -2x 2-4xy+7y15、3x 2-[7x-(4x-3)-2x 2]=5x 2-3x-316、a 2b-[2(a 2b-2a 2c )-(2bc+a 2c )]= -a 2b+2bc+6a 2c 17、-2y 3+(3xy 2-x 2y )-2(xy 2-y 3)= xy 2-x 2y 18、2(2x-3y )-(3x+2y+1)=2x-8y-119、-(3a 2-4ab )+[a 2-2(2a+2ab )]=-2a 2-4a20、5m-7n-8p+5n-9m-p = -4m-2n-9p 21、(5x 2y-7xy 2)-(xy 2-3x 2y )=4xy 2-4x 2y 22、3(-3a 2-2a )-[a 2-2(5a-4a 2+1)-3a]=-18a 2 +7a+2 23、3a 2-9a+5-(-7a 2+10a-5)=10a 2-19a+10 24、-3a 2b-(2ab 2-a 2b )-(2a 2b+4ab 2)= -4a 2b-64ab 2 25、(5a-3a 2+1)-(4a 3-3a 2)=5a-4a 2+1 26、-2(ab-3a 2)-[2b 2-(5ab+a 2)+2ab]=7a 2+ab-2b 227、(8xy -x 2+y 2)+(-y 2+x 2-8xy )=0 28、(2x 2-21+3x )-4(x -x 2+21) = 6x 2-x-2529、3x 2-[7x -(4x -3)-2x 2]= 5x 2-3x -330、5a+(4b-3a )-(-3a+b )= 5a+3b 31、(3a 2-3ab+2b 2)+(a 2+2ab-2b 2)= 4a 2-ab32、2a 2b+2ab 2-[2(a 2b-1)+2ab 2+2].= -133、(2a 2-1+2a )-3(a-1+a 2)= -a 2-a+234、2(x 2-xy )-3(2x 2-3xy )-2[x 2-(2x 2-xy+y 2)]=-2x 2+5xy-2y 235、-32ab +43a 2b +ab +(-43a 2b )-1 = 31ab-1 36、(8xy -x 2+y 2)+(-y 2+x 2-8xy )=037、2x -(3x -2y +3)-(5y -2)=-x-3y-138、-(3a +2b )+(4a -3b +1)-(2a -b -3)= -a-4b+4 39、4x 3-(-6x 3)+(-9x 3)= x 340、3-2xy +2yx 2+6xy -4x 2y = -2 x 2y+4 41、 1-3(2ab +a )十[1-2(2a -3ab )]=2-7a42、 3x -[5x +(3x -2)]=-5x+243、(3a 2b -ab 2)-(ab 2+3a 2b )= -2ab 244、()[]{}y x x y x --+--32332 = 5x+y 45、(-x 2+5+4x 3)+(-x 3+5x -4)= 3x 3-x 2+5x+146、(5a 2-2a+3)-(1-2a+a 2)+3(-1+3a-a 2)=a 2+9a-147、5(3a 2b-ab 2)-4(-ab 2+3a 2b ).=3a 2b-ab 248、4a 2+2(3ab-2a 2)-(7ab-1)=1-ab 49、21xy+(-41xy )-2xy 2-(-3y 2x )=41xy+xy 250、5a 2-[a 2-(5a 2-2a )-2(a 2-3a )]=11a 2-8a 51、5m-7n-8p+5n-9m+8p=-4m-2n59、(7y-3z )-(8y-5z )=-y+2z60、-3(2x2-xy )+4(x 2+xy-6)=-2x 2+7xy-24 61、(x 3+3x 2y-5xy 2+9y 3)+(-2y 3+2xy 2+x 2y-2x 3)-(4x 2y-x 3-3xy 2+7y 3)=062、-3x 2y+2x 2y+3xy 2-2xy 2 = -x 2y+xy 263、3(a 2-2ab )-2(-3ab+b 2)=3a 2-2b 264、5abc-{2a 2b-[3abc-(4a 2b-ab 2]}=8abc-6a 2b+ab 2 65、5m 2-[m 2+(5m 2-2m )-2(m 2-3m )]=m 2-4m 66、-[2m-3(m-n+1)-2]-1=m-3n+4 67、31a-( 21a-4b-6c)+3(-2c+2b)= -61a+10b68、 -5a n -a n -(-7a n )+(-3a n )= -2a n69、71、71、3a-{2c-[6a-(c-b )+c+(a+8b-6)]}= 10a+9b-2c-672、-3(xy-2x 2)-[y 2-(5xy-4x 2)+2xy]= 2x 2-y 273、化简、求值21x 2-2212- (x + y )2⎡⎤⎢⎥⎣⎦-23(-32x 2+31y 2),其中x =-2, y =-34 原式=2x 2+21y 2-2 =69874、化简、求值21x -2(x -31y 2)+(-23x +31y 2),其中x =-2,y =-32.原式=-3x+y 2=69475、x x x x x x 5)64(213223312323-++-⎪⎭⎫ ⎝⎛---其中x =-121;原式=x 3+x 2-x+6=68376、 化简,求值(4m+n )-[1-(m-4n )],m=52 n=-131原式=5m-3n-1=577、化简、求值2(a 2b +2b 3-ab 3)+3a 3-(2ba 2-3ab 2+3a 3)-4b 3,其中a =-3,b =2原式=-2ab 3+3ab 2=12 78、化简,求值:(2x 3-xyz )-2(x 3-y 3+xyz )+(xyz-2y 3),其中x=1,y=2,z=-3. 原式=-2xyz=679、化简,求值:5x 2-[3x-2(2x-3)+7x 2],其中x=-2.原式=-2x 2+x-6=-1680、若两个多项式的和是2x 2+xy+3y 2,一个加式是x 2-xy ,求另一个加式.(2x 2+xy+3y 2 ) ——( x 2-xy )= x 2+2xy+3y 2 81、若2a 2-4ab+b 2与一个多项式的差是-3a 2+2ab-5b 2,试求这个多项式.( 2a 2-4ab+b 2 )—(-3a 2+2ab-5b 2)=5a 2 -6ab+6b 282、求5x 2y -2x 2y 与-2xy 2+4x 2y 的和.(5x 2y -2x 2y )+(-2xy 2+4x 2y )=3xy 2+2x 2y 83、 求3x 2+x -5与4-x +7x 2的差.(3x 2+x -5)—(4-x +7x 2)=—4x 2+2x -984、计算 5y+3x+5z 2与12y+7x-3z 2的和(5y+3x+5z 2)+(12y+7x-3z 2)=17y+10x+2z 2 85、计算8xy 2+3x 2y-2与-2x 2y+5xy 2-3的差(8xy 2+3x 2y-2)—(-2x 2y+5xy 2-3)=5x 2y+3xy 2+1 86、 多项式-x 2+3xy-21y 与多项式M 的差是-21x 2-xy+y ,求多项式M M=-21x 2+4xy —23y87、当x=- 21,y=-3时,求代数式3(x 2-2xy )-[3x 2-2y+2(xy+y )]的值.原式=-8xy+y= —15 88、化简再求值5abc-{2a2b-[3abc-(4ab 2-a 2b )]-2ab 2},其中a=-2,b=3,c=-41 原式=83abc-a 2b-2ab 2=36 89、已知A=a 2-2ab+b 2,B=a 2+2ab+b 2(1)求A+B ; (2)求41(B-A); A+B=2a 2+2b 241(B-A)=ab 90、小明同学做一道题,已知两个多项式A ,B ,计算A+B ,他误将A+B 看作A-B ,求得9x 2-2x+7,若B=x 2+3x-2,你能否帮助小明同学求得正确答案?A=10x 2+x+5 A+B=11x 2+4x+391、已知:M=3x 2+2x-1,N=-x 2-2+3x ,求M-2N . M-2N=5x 2-4x+392、已知222244,5A x xy y B x xy y =-+=+-,求3A -B3A -B=11x 2-13xy+8y 293、已知A =x 2+xy +y 2,B =-3xy -x 2,求2A -3B . 2A -3B= 5x 2+11xy +2y 294、已知2-a +(b +1)2=0,求5ab 2-[2a 2b -(4ab 2-2a 2b )]的值.原式=9ab 2-4a 2b=3495、化简求值:5abc-2a2b+[3abc-2(4ab2-a2b)],其中a、b、c满足|a-1|+|b-2|+c2=0.原式=8abc-8a2b=-3296、已知a,b,z满足:(1)已知|x-2|+(y+3)2=0,(2)z是最大的负整数,化简求值:2(x2y+xyz)-3(x2y-xyz)-4x2y.原式=-5x2y+5xyz=9097、已知a+b=7,ab=10,求代数式(5ab+4a+7b)+(6a-3ab)-(4ab-3b)的值.原式=10a+10b-2ab=5098、已知m2+3mn=5,求5m2-[+5m2-(2m2-mn)-7mn-5]的值原式=2m2+6mn+5=1599、设A=2x2-3xy+y2+2x+2y,B=4x2-6xy+2y2-3x-y,若|x-2a|+(y-3)2=0,且B-2A=a,求a的值.B-2A=-7x-5y=-14a-15=a a=-1100、有两个多项式:A=2a2-4a+1,B=2(a2-2a)+3,当a取任意有理数时,请比较A与B的大小.A=2a2-4a+1 B=2a2-4a+3 所以A<B。
整式的加减专项练习1、3(a+5b)-2(b-a)2、3a-(2b-a)+b3、2(2a2+9b)+3(-5a2-4b)4、(x3-2y3-3x2y)-(3x3-3y3-7x2y)5、3x2-[7x-(4x-3)-2x2]6、(2xy-y)-(-y+yx)7、5(a2b-3ab2)-2(a2b-7ab)8、(-2ab+3a)-2(2a-b)+2ab 9、(7m2n-5mn)-(4m2n-5mn)10、(5a2+2a-1)-4(3-8a+2a2).11、-3x2y+3xy2+2x2y-2xy2;12、2(a-1)-(2a-3)+3.13、-2(ab-3a2)-[2b2-(5ab+a2)+2ab]14、(x2-xy+y)-3(x2+xy-2y)15、3x2-[7x-(4x-3)-2x2]16、a2b-[2(a2b-2a2c)-(2bc+a2c)];17、-2y3+(3xy2-x2y)-2(xy2-y3).18、2(2x-3y)-(3x+2y+1)19、-(3a2-4ab)+[a2-2(2a+2ab)].20、5m-7n-8p+5n-9m-p ;21、(5x 2y-7xy 2)-(xy 2-3x 2y ); 22、3(-3a 2-2a )-[a 2-2(5a-4a 2+1)-3a].23、3a 2-9a+5-(-7a 2+10a-5); 24、-3a 2b-(2ab 2-a 2b )-(2a 2b+4ab 2).25、(5a-3a 2+1)-(4a 3-3a 2); 26、-2(ab-3a 2)-[2b 2-(5ab+a 2)+2ab]27、(8xy -x 2+y 2)+(-y 2+x 2-8xy ); 28、(2x 2-21+3x )-4(x -x 2+21);29、3x 2-[7x -(4x -3)-2x 2]. 30、5a+(4b-3a )-(-3a+b );31、(3a 2-3ab+2b 2)+(a 2+2ab-2b 2); 32、2a 2b+2ab 2-[2(a 2b-1)+2ab 2+2].33、(2a 2-1+2a )-3(a-1+a 2); 34、2(x 2-xy )-3(2x 2-3xy )-2[x 2-(2x 2-xy+y 2)].35、 -32ab +43a 2b +ab +(-43a 2b )-1 36、(8xy -x 2+y 2)+(-y 2+x 2-8xy );37、2x -(3x -2y +3)-(5y -2); 38、-(3a +2b )+(4a -3b +1)-(2a -b -3)39、4x 3-(-6x 3)+(-9x 3) 40、3-2xy +2yx 2+6xy -4x 2y41、 1-3(2ab +a )十[1-2(2a -3ab )].42、 3x -[5x +(3x -2)];43、(3a 2b -ab 2)-(ab 2+3a 2b ) 44、()[]{}y x x y x --+--3233245、(-x 2+5+4x 3)+(-x 3+5x -4) 46、(5a 2-2a+3)-(1-2a+a 2)+3(-1+3a-a 2).47、5(3a 2b-ab 2)-4(-ab 2+3a 2b ). 48、4a 2+2(3ab-2a 2)-(7ab-1).49、 21xy+(-41xy )-2xy 2-(-3y 2x ) 50、5a 2-[a 2-(5a 2-2a )-2(a 2-3a )]51、5m-7n-8p+5n-9m+8p 52、(5x 2y-7xy 2)-(xy 2-3x 2y )53、 3x2y-[2x2y-3(2xy-x2y)-xy] 54、5556、(a2+4ab-4b2)-3(a2+b2)-7(b2-ab).57、a2+2a3+(-2a3)+(-3a3)+3a2;58、5ab+(-4a2b2)+8ab2-(-3ab)+(-a2b)+4a2b2; 59、(7y-3z)-(8y-5z);60、-3(2x2-xy)+4(x2+xy-6).61、(x3+3x2y-5xy2+9y3)+(-2y3+2xy2+x2y-2x3)-(4x2y-x3-3xy2+7y3)62、-3x2y+2x2y+3xy2-2xy2; 63、3(a2-2ab)-2(-3ab+b2);64、5abc-{2a2b-[3abc-(4a2b-ab2]}.65、5m2-[m2+(5m2-2m)-2(m2-3m)].66、-[2m-3(m-n+1)-2]-1.67、31a-( 21a-4b-6c)+3(-2c+2b) 68、 -5a n -a n -(-7a n )+(-3a n ) 69、x 2y-3xy 2+2yx 2-y 2x70、 41a 2b-0.4ab 2- 21a 2b+ 52ab 2;71、3a-{2c-[6a-(c-b )+c+(a+8b-6)]}72、-3(xy-2x 2)-[y 2-(5xy-4x 2)+2xy];73、化简、求值21x 2-2212- (x + y )2⎡⎤⎢⎥⎣⎦-23(-32x 2+31y 2),其中x =-2, y =-3474、化简、求值21x -2(x -31y 2)+(-23x +31y 2),其中x =-2,y =-32.75、x x x x x x 5)64(213223312323-++-⎪⎭⎫ ⎝⎛---其中x =-121;76、 化简,求值(4m+n )-[1-(m-4n )],m=52 n=-13177、化简、求值2(a2b+2b3-ab3)+3a3-(2ba2-3ab2+3a3)-4b3,其中a=-3,b=278、化简,求值:(2x3-xyz)-2(x3-y3+xyz)+(xyz-2y3),其中x=1,y=2,z=-3.79、化简,求值:5x2-[3x-2(2x-3)+7x2],其中x=-2.80、若两个多项式的和是2x2+xy+3y2,一个加式是x2-xy,求另一个加式.81、若2a2-4ab+b2与一个多项式的差是-3a2+2ab-5b2,试求这个多项式.82、求5x2y-2x2y与-2xy2+4x2y的和.83、求3x2+x-5与4-x+7x2的差.84、计算 5y+3x+5z2与12y+7x-3z2的和85、计算8xy2+3x2y-2与-2x2y+5xy2-3的差86、 多项式-x 2+3xy-21y 与多项式M 的差是-21x 2-xy+y ,求多项式M87、当3(x 2-2xy )-[3x 2-2y+2(xy+y )]的值.88、化简再求值5abc-{2a 2b-[3abc-(4ab 2-a 2b )]-2ab 2},其中a=-2,b=3,c=-4189、已知A=a 2-2ab+b 2,B=a 2+2ab+b 2(1)求A+B ; (2)求41(B-A);90、小明同学做一道题,已知两个多项式A ,B ,计算A+B ,他误将A+B 看作A-B ,求得9x 2-2x+7,若B=x 2+3x-2,你能否帮助小明同学求得正确答案?91、已知:M=3x 2+2x-1,N=-x 2-2+3x ,求M-2N .92、已知222244,5A x xy y B x xy y =-+=+-,求3A -B93、已知A =x 2+xy +y 2,B =-3xy -x 2,求2A -3B .94、已知2 a +(b +1)2=0,求5ab 2-[2a 2b -(4ab 2-2a 2b )]的值.95、化简求值:5abc-2a 2b+[3abc-2(4ab 2-a 2b )],其中a 、b 、c 满足|a-1|+|b-2|+c 2=0.96、已知a ,b ,z 满足:(1)已知|x-2|+(y+3)2=0,(2)z 是最大的负整数,化简求值:2(x 2y+xyz )-3(x 2y-xyz )-4x 2y .97、已知a+b=7,ab=10,求代数式(5ab+4a+7b )+(6a-3ab )-(4ab-3b )的值.98、已知m 2+3mn=5,求5m 2-[+5m 2-(2m 2-mn )-7mn-5]的值99、设A=2x 2-3xy+y 2+2x+2y ,B=4x 2-6xy+2y 2-3x-y ,若|x-2a|+(y-3)2=0,且B-2A=a ,求a 的值.100、有两个多项式:A =2a 2-4a +1,B =2(a 2-2a )+3,当a 取任意有理数时,请比较A 与B 的大小.整式的加减专项练习答案:1、3(a+5b )-2(b-a )=5a+13b2、3a-(2b-a )+b=4a-b .3、2(2a 2+9b )+3(-5a 2-4b )=—11a 2+6b 2 4、(x 3-2y 3-3x 2y )-(3x 3-3y 3-7x 2y )= -2x 3+y 3+4x 2y5、3x 2-[7x-(4x-3)-2x 2] = 5x 2 -3x-36、(2xy-y )-(-y+yx )= xy7、5(a 22b-3ab 2)-2(a 2b-7ab ) = -a 2b+11ab 8、(-2ab+3a )-2(2a-b )+2ab= -2a+b9、(7m 2n-5mn )-(4m 2n-5mn )= 3m 2n10、(5a 2+2a-1)-4(3-8a+2a 2)= -3a 2+34a-1311、-3x 2y+3xy 2+2x 2y-2xy 2= -x 2y+xy 212、2(a-1)-(2a-3)+3.=413、-2(ab-3a 2)-[2b 2-(5ab+a 2)+2ab]= 7a 2+ab-2b 214、(x 2-xy+y )-3(x 2+xy-2y )= -2x 2-4xy+7y15、3x 2-[7x-(4x-3)-2x 2]=5x 2-3x-3 16、a 2b-[2(a 2b-2a 2c )-(2bc+a 2c )]= -a 2b+2bc+6a 2c17、-2y 3+(3xy 2-x 2y )-2(xy 2-y 3)= xy 2-x 2y18、2(2x-3y )-(3x+2y+1)=2x-8y-1 19、-(3a 2-4ab )+[a 2-2(2a+2ab )]=-2a 2-4a20、5m-7n-8p+5n-9m-p = -4m-2n-9p21、(5x 2y-7xy 2)-(xy 2-3x 2y )=4xy 2-4x 2y22、3(-3a 2-2a )-[a 2-2(5a-4a 2+1)-3a]=-18a 2 +7a+223、3a 2-9a+5-(-7a 2+10a-5)=10a 2-19a+1024、-3a 2b-(2ab 2-a 2b )-(2a 2b+4ab 2)= -4a 2b-64ab 225、(5a-3a 2+1)-(4a 3-3a 2)=5a-4a 2+126、-2(ab-3a 2)-[2b 2-(5ab+a 2)+2ab]=7a 2+ab-2b 2 27、(8xy -x 2+y 2)+(-y 2+x 2-8xy )=028、(2x 2-21+3x )-4(x -x 2+21) = 6x 2-x-25 29、3x 2-[7x -(4x -3)-2x 2]= 5x 2-3x -330、5a+(4b-3a )-(-3a+b )= 5a+3b31、(3a 2-3ab+2b 2)+(a 2+2ab-2b 2)= 4a 2-ab32、2a 2b+2ab 2-[2(a 2b-1)+2ab 2+2].= -133、(2a 2-1+2a )-3(a-1+a 2)= -a 2-a+234、2(x 2-xy )-3(2x 2-3xy )-2[x 2-(2x 2-xy+y 2)]=-2x 2+5xy-2y 235、-32ab +43a 2b +ab +(-43a 2b )-1 = 31ab-1 36、(8xy -x 2+y 2)+(-y 2+x 2-8xy )=037、2x -(3x -2y +3)-(5y -2)=-x-3y-138、-(3a +2b )+(4a -3b +1)-(2a -b -3)= -a-4b+439、4x 3-(-6x 3)+(-9x 3)= x 340、3-2xy +2yx 2+6xy -4x 2y = -2 x 2y+441、 1-3(2ab +a )十[1-2(2a -3ab )]=2-7a42、 3x -[5x +(3x -2)]=-5x+243、(3a 2b -ab 2)-(ab 2+3a 2b )= -2ab 244、()[]{}y x x y x --+--32332 = 5x+y45、(-x 2+5+4x 3)+(-x 3+5x -4)= 3x 3-x 2+5x+1 46、(5a 2-2a+3)-(1-2a+a 2)+3(-1+3a-a 2)=a 2+9a-147、5(3a 2b-ab 2)-4(-ab 2+3a 2b ).=3a 2b-ab 248、4a 2+2(3ab-2a 2)-(7ab-1)=1-ab49、 21xy+(-41xy )-2xy 2-(-3y 2x )=41xy+xy 2 50、5a 2-[a 2-(5a 2-2a )-2(a 2-3a )]=11a 2-8a51、5m-7n-8p+5n-9m+8p=-4m-2n59、(7y-3z )-(8y-5z )=-y+2z60、-3(2x 2-xy )+4(x 2+xy-6)=-2x 2+7xy-24 61、(x 3+3x 2y-5xy 2+9y 3)+(-2y 3+2xy 2+x 2y-2x 3)-(4x 2y-x 3-3xy 2+7y 3)=0 62、-3x 2y+2x 2y+3xy 2-2xy 2 = -x 2y+xy 263、3(a 2-2ab )-2(-3ab+b 2)=3a 2-2b 264、5abc-{2a 2b-[3abc-(4a 2b-ab 2]}=8abc-6a 2b+ab 265、5m 2-[m 2+(5m 2-2m )-2(m 2-3m )]=m 2-4m66、-[2m-3(m-n+1)-2]-1=m-3n+467、31a-( 21a-4b-6c)+3(-2c+2b)= -61a+10b 68、 -5a n -a n -(-7a n )+(-3a n )= -2a n69、x 2y-3xy 2+2yx 2-y 2x=3x 2y-4xy 271、 41a 2b-0.4ab 2- 21a 2b+ 52ab 2 = -41a 2b 71、3a-{2c-[6a-(c-b )+c+(a+8b-6)]}= 10a+9b-2c-672、-3(xy-2x 2)-[y 2-(5xy-4x 2)+2xy]= 2x 2-y 2 73、化简、求值21x 2-2212- (x + y )2⎡⎤⎢⎥⎣⎦-23(-32x 2+31y 2),其中x =-2, y =-34 原式=2x 2+21y 2-2 =698 74、化简、求值21x -2(x -31y 2)+(-23x +31y 2),其中x =-2,y =-32. 原式=-3x+y 2=694 75、x x x x x x 5)64(213223312323-++-⎪⎭⎫ ⎝⎛---其中x =-121; 原式=x 3+x 2-x+6=68376、 化简,求值(4m+n )-[1-(m-4n )],m=52 n=-131 原式=5m-3n-1=577、化简、求值2(a 2b +2b 3-ab 3)+3a 3-(2ba 2-3ab 2+3a 3)-4b 3,其中a =-3,b =2原式=-2ab 3+3ab 2=1278、化简,求值:(2x 3-xyz )-2(x 3-y 3+xyz )+(xyz-2y 3),其中x=1,y=2,z=-3.原式=-2xyz=679、化简,求值:5x 2-[3x-2(2x-3)+7x 2],其中x=-2.原式=-2x 2+x-6=-1680、若两个多项式的和是2x 2+xy+3y 2,一个加式是x 2-xy ,求另一个加式.(2x 2+xy+3y 2 ) ——( x 2-xy )= x 2+2xy+3y 281、若2a 2-4ab+b 2与一个多项式的差是-3a 2+2ab-5b 2,试求这个多项式.( 2a 2-4ab+b 2 )—(-3a 2+2ab-5b 2)=5a 2 -6ab+6b 282、求5x 2y -2x 2y 与-2xy 2+4x 2y 的和.(5x 2y -2x 2y )+(-2xy 2+4x 2y )=3xy 2+2x 2y83、 求3x 2+x -5与4-x +7x 2的差.(3x 2+x -5)—(4-x +7x 2)=—4x 2+2x -984、计算 5y+3x+5z 2与12y+7x-3z 2的和(5y+3x+5z 2)+(12y+7x-3z 2)=17y+10x+2z 285、计算8xy 2+3x 2y-2与-2x 2y+5xy 2-3的差(8xy 2+3x 2y-2)—(-2x 2y+5xy 2-3)=5x 2y+3xy 2+186、 多项式-x 2+3xy-21y 与多项式M 的差是-21x 2-xy+y ,求多项式M23y 87、当3(x 2-2xy )-[3x 2-2y+2(xy+y )]的值. 原式=-8xy+y= —1588、化简再求值5abc-{2a 2b-[3abc-(4ab 2-a 2b )]-2ab 2},其中a=-2,b=3,c=-41 原式=83abc-a 2b-2ab 2=3689、已知A=a 2-2ab+b 2,B=a 2+2ab+b 2 (1)求A+B ;(2)求41(B-A); A+B=2a 2+2b 2 41(B-A)=ab 90、小明同学做一道题,已知两个多项式A ,B ,计算A+B ,他误将A+B 看作A-B ,求得 9x 2-2x+7,若B=x 2+3x-2,你能否帮助小明同学求得正确答案?A=10x 2+x+5 A+B=11x 2+4x+391、已知:M=3x 2+2x-1,N=-x 2-2+3x ,求M-2N .M-2N=5x 2-4x+392、已知222244,5A x xy y B x xy y =-+=+-,求3A -B3A -B=11x 2-13xy+8y 293、已知A =x 2+xy +y 2,B =-3xy -x 2,求2A -3B .2A -3B= 5x 2+11xy +2y 294、已知2-a +(b +1)2=0,求5ab 2-[2a 2b -(4ab 2-2a 2b )]的值. 原式=9ab 2-4a 2b=3495、化简求值:5abc-2a 2b+[3abc-2(4ab 2-a 2b )],其中a 、b 、c 满足|a-1|+|b-2|+c 2=0. 原式=8abc-8a 2b=-3296、已知a ,b ,z 满足:(1)已知|x-2|+(y+3)2=0,(2)z 是最大的负整数,化简求值: 2(x 2y+xyz )-3(x 2y-xyz )-4x 2y .原式=-5x 2y+5xyz=9097、已知a+b=7,ab=10,求代数式(5ab+4a+7b )+(6a-3ab )-(4ab-3b )的值. 原式=10a+10b-2ab=5098、已知m 2+3mn=5,求5m 2-[+5m 2-(2m 2-mn )-7mn-5]的值原式=2m 2+6mn+5=1599、设A=2x 2-3xy+y 2+2x+2y ,B=4x 2-6xy+2y 2-3x-y ,若|x-2a|+(y-3)2=0,且B-2A=a ,求a 的值. B-2A=-7x-5y=-14a-15=a a=-1100、有两个多项式:A =2a 2-4a +1,B =2(a 2-2a )+3,当a 取任意有理数时,请比较A与B 的大小. A=2a 2-4a +1 B =2a 2-4a +3 所以A<B。
整式的加减专项练习100题(有答案)1、3(a+5b)-2(b-a)2、3a-(2b-a)+b3、2(2a2+9b)+3(-5a2-4b)4、(x3-2y3-3x2y)-(3x3-3y3-7x2y)5、3x2-[7x-(4x-3)-2x2]6、(2xy-y)-(-y+yx)7、5(a2b-3ab2)-2(a2b-7ab)8、(-2ab+3a)-2(2a-b)+2ab9、(7m2n-5mn)-(4m2n-5mn)10、(5a2+2a-1)-4(3-8a+2a2).11、-3x2y+3xy2+2x2y-2xy2;12、2(a-1)-(2a-3)+3.13、-2(ab-3a2)-[2b2-(5ab+a2)+2ab]14、(x 2-xy+y )-3(x 2+xy-2y )15、3x 2-[7x-(4x-3)-2x 2]16、a 2b-[2(a 2b-2a 2c )-(2bc+a 2c )];17、-2y 3+(3xy 2-x 2y )-2(xy 2-y 3).18、2(2x-3y )-(3x+2y+1)19、-(3a 2-4ab )+[a 2-2(2a+2ab )].20、5m-7n-8p+5n-9m-p ;21、(5x 2y-7xy 2)-(xy 2-3x 2y );22、3(-3a 2-2a )-[a 2-2(5a-4a 2+1)-3a].23、3a 2-9a+5-(-7a 2+10a-5);24、-3a 2b-(2ab 2-a 2b )-(2a 2b+4ab 2).25、(5a-3a 2+1)-(4a 3-3a 2);26、-2(ab-3a 2)-[2b 2-(5ab+a 2)+2ab]27、(8xy -x 2+y 2)+(-y 2+x 2-8xy );28、(2x 2-21+3x )-4(x -x 2+21);29、3x 2-[7x -(4x -3)-2x 2].30、5a+(4b-3a )-(-3a+b );31、(3a2-3ab+2b2)+(a2+2ab-2b2);32、2a2b+2ab2-[2(a2b-1)+2ab2+2].33、(2a 2-1+2a )-3(a-1+a 2);34、2(x 2-xy )-3(2x 2-3xy )-2[x 2-(2x 2-xy+y 2)].35、 -32ab +43a 2b +ab +(-43a 2b )-136、(8xy -x 2+y 2)+(-y 2+x 2-8xy );37、2x -(3x -2y +3)-(5y -2);38、-(3a +2b )+(4a -3b +1)-(2a -b -3)39、4x 3-(-6x 3)+(-9x 3)40、3-2xy +2yx 2+6xy -4x 2y41、 1-3(2ab +a )十[1-2(2a -3ab )].42、 3x -[5x +(3x -2)];43、(3a 2b -ab 2)-(ab 2+3a 2b )44、()[]{}y x x y x --+--3233245、(-x 2+5+4x 3)+(-x 3+5x -4)46、(5a 2-2a+3)-(1-2a+a 2)+3(-1+3a-a 2).47、5(3a 2b-ab 2)-4(-ab 2+3a 2b ).48、4a 2+2(3ab-2a 2)-(7ab-1).49、 21xy+(-41xy )-2xy 2-(-3y 2x )50、5a 2-[a 2-(5a 2-2a )-2(a 2-3a )]51、5m-7n-8p+5n-9m+8p52、(5x 2y-7xy 2)-(xy 2-3x 2y )5556、(a 2+4ab-4b 2)-3(a 2+b 2)-7(b 2-ab ).57、a 2+2a 3+(-2a 3)+(-3a 3)+3a 2;58、5ab+(-4a 2b 2)+8ab 2-(-3ab )+(-a 2b )+4a 2b 2;59、(7y-3z )-(8y-5z );60、-3(2x 2-xy )+4(x 2+xy-6). 61、(x 3+3x 2y-5xy 2+9y 3)+(-2y 3+2xy 2+x 2y-2x 3)-(4x 2y-x 3-3xy 2+7y 3)62、-3x 2y+2x 2y+3xy 2-2xy 2;63、3(a 2-2ab )-2(-3ab+b 2);64、5abc-{2a 2b-[3abc-(4a 2b-ab 2]}.65、5m 2-[m 2+(5m 2-2m )-2(m 2-3m )].66、-[2m-3(m-n+1)-2]-1.67、31a-( 21a-4b-6c)+3(-2c+2b) 68、 -5a n -a n -(-7a n )+(-3a n )69、x 2y-3xy 2+2yx 2-y 2x 70、 41a 2b-0.4ab 2- 21a 2b+ 52ab 2;71、3a-{2c-[6a-(c-b )+c+(a+8b-6)]}72、-3(xy-2x 2)-[y 2-(5xy-4x 2)+2xy];73、化简、求值21x 2-2212- (x + y )2⎡⎤⎢⎥⎣⎦-23(-32x 2+31y 2),其中x =-2, y =-3474、化简、求值21x -2(x -31y 2)+(-23x +31y 2),其中x =-2,y =-32.75、x x x x x x 5)64(213223312323-++-⎪⎭⎫ ⎝⎛---其中x =-121;76、 化简,求值(4m+n )-[1-(m-4n )],m=52 n=-13177、化简、求值2(a 2b +2b 3-ab 3)+3a 3-(2ba 2-3ab 2+3a 3)-4b 3,其中a =-3,b =278、化简,求值:(2x 3-xyz )-2(x 3-y 3+xyz )+(xyz-2y 3),其中x=1,y=2,z=-3.79、化简,求值:5x 2-[3x-2(2x-3)+7x 2],其中x=-2.80、若两个多项式的和是2x 2+xy+3y 2,一个加式是x 2-xy ,求另一个加式.81、若2a 2-4ab+b 2与一个多项式的差是-3a 2+2ab-5b 2,试求这个多项式.82、求5x 2y -2x 2y 与-2xy 2+4x 2y 的和.83、 求3x 2+x -5与4-x +7x 2的差.84、计算 5y+3x+5z 2与12y+7x-3z 2的和85、计算8xy 2+3x 2y-2与-2x 2y+5xy 2-3的差86、 多项式-x 2+3xy-21y 与多项式M 的差是-21x 2-xy+y ,求多项式M87、当3(x 2-2xy )-[3x 2-2y+2(xy+y )]的值.88、化简再求值5abc-{2a 2b-[3abc-(4ab 2-a 2b )]-2ab 2},其中a=-2,b=3,c=-4189、已知A=a 2-2ab+b 2,B=a 2+2ab+b 2(1)求A+B ;(2)求41(B-A);90、小明同学做一道题,已知两个多项式A ,B ,计算A+B ,他误将A+B 看作A-B ,求得9x 2-2x+7,若B=x 2+3x-2,你能否帮助小明同学求得正确答案?91、已知:M=3x 2+2x-1,N=-x 2-2+3x ,求M-2N .92、已知222244,5A x xy y B x xy y =-+=+-,求3A -B93、已知A =x 2+xy +y 2,B =-3xy -x 2,求2A -3B .94、已知2-a +(b +1)2=0,求5ab 2-[2a 2b -(4ab 2-2a 2b )]的值.95、化简求值:5abc-2a 2b+[3abc-2(4ab 2-a 2b )],其中a 、b 、c 满足|a-1|+|b-2|+c 2=0.96、已知a ,b ,z 满足:(1)已知|x-2|+(y+3)2=0,(2)z 是最大的负整数,化简求值: 2(x 2y+xyz )-3(x 2y-xyz )-4x 2y .97、已知a+b=7,ab=10,求代数式(5ab+4a+7b )+(6a-3ab )-(4ab-3b )的值.98、已知m 2+3mn=5,求5m 2-[+5m 2-(2m 2-mn )-7mn-5]的值99、设A=2x 2-3xy+y 2+2x+2y ,B=4x 2-6xy+2y 2-3x-y ,若|x-2a|+(y-3)2=0,且B-2A=a ,求a 的值.100、有两个多项式:A=2a2-4a+1,B=2(a2-2a)+3,当a取任意有理数时,请比较A 与B的大小.答案:1、3(a+5b)-2(b-a)=5a+13b2、3a-(2b-a)+b=4a-b.3、2(2a2+9b)+3(-5a2-4b)=—11a2+6b24、(x3-2y3-3x2y)-(3x3-3y3-7x2y)= -2x3+y3+4x2y5、3x2-[7x-(4x-3)-2x2] = 5x2 -3x-36、(2xy-y)-(-y+yx)= xy7、5(a22b-3ab2)-2(a2b-7ab)= -a2b+11ab8、(-2ab+3a)-2(2a-b)+2ab= -2a+b9、(7m2n-5mn)-(4m2n-5mn)= 3m2n10、(5a2+2a-1)-4(3-8a+2a2)= -3a2+34a-1311、-3x2y+3xy2+2x2y-2xy2= -x2y+xy212、2(a-1)-(2a-3)+3.=413、-2(ab-3a2)-[2b2-(5ab+a2)+2ab]= 7a2+ab-2b214、(x2-xy+y)-3(x2+xy-2y)= -2x2-4xy+7y15、3x2-[7x-(4x-3)-2x2]=5x2-3x-316、a2b-[2(a2b-2a2c)-(2bc+a2c)]= -a2b+2bc+6a2c17、-2y3+(3xy2-x2y)-2(xy2-y3)= xy2-x2y18、2(2x-3y)-(3x+2y+1)=2x-8y-119、-(3a2-4ab)+[a2-2(2a+2ab)]=-2a2-4a20、5m-7n-8p+5n-9m-p = -4m-2n-9p21、(5x2y-7xy2)-(xy2-3x2y)=4xy2-4x2y22、3(-3a2-2a)-[a2-2(5a-4a2+1)-3a]=-18a2 +7a+223、3a2-9a+5-(-7a2+10a-5)=10a2-19a+1024、-3a2b-(2ab2-a2b)-(2a2b+4ab2)= -4a2b-64ab225、(5a-3a 2+1)-(4a 3-3a 2)=5a-4a 2+126、-2(ab-3a 2)-[2b 2-(5ab+a 2)+2ab]=7a 2+ab-2b 2 27、(8xy -x 2+y 2)+(-y 2+x 2-8xy )=028、(2x 2-21+3x )-4(x -x 2+21) = 6x 2-x-25 29、3x 2-[7x -(4x -3)-2x 2]= 5x 2-3x -330、5a+(4b-3a )-(-3a+b )= 5a+3b31、(3a 2-3ab+2b 2)+(a 2+2ab-2b 2)= 4a 2-ab32、2a 2b+2ab 2-[2(a 2b-1)+2ab 2+2].= -133、(2a 2-1+2a )-3(a-1+a 2)= -a 2-a+234、2(x 2-xy )-3(2x 2-3xy )-2[x 2-(2x 2-xy+y 2)]=-2x 2+5xy-2y 235、-32ab +43a 2b +ab +(-43a 2b )-1 = 31ab-1 36、(8xy -x 2+y 2)+(-y 2+x 2-8xy )=037、2x -(3x -2y +3)-(5y -2)=-x-3y-138、-(3a +2b )+(4a -3b +1)-(2a -b -3)= -a-4b+439、4x 3-(-6x 3)+(-9x 3)= x 340、3-2xy +2yx 2+6xy -4x 2y = -2 x 2y+441、 1-3(2ab +a )十[1-2(2a -3ab )]=2-7a42、 3x -[5x +(3x -2)]=-5x+243、(3a 2b -ab 2)-(ab 2+3a 2b )= -2ab 244、()[]{}y x x y x --+--32332 = 5x+y45、(-x 2+5+4x 3)+(-x 3+5x -4)= 3x 3-x 2+5x+146、(5a 2-2a+3)-(1-2a+a 2)+3(-1+3a-a 2)=a 2+9a-147、5(3a 2b-ab 2)-4(-ab 2+3a 2b ).=3a 2b-ab 248、4a 2+2(3ab-2a 2)-(7ab-1)=1-ab49、 21xy+(-41xy )-2xy 2-(-3y 2x )=41xy+xy 250、5a 2-[a 2-(5a 2-2a )-2(a 2-3a )]=11a 2-8a51、5m-7n-8p+5n-9m+8p=-4m-2n57、a 2+2a 3+(-2a 3)+(-3a 3)+3a 2 = -3a 3+4a 2 58、5ab+(-4a 2b 2)+8ab 2-(-3ab )+(-a 2b )+4a 2b 2=8ab+8ab 2-a 2b59、(7y-3z )-(8y-5z )=-y+2z60、-3(2x 2-xy )+4(x 2+xy-6)=-2x 2+7xy-2461、(x 3+3x 2y-5xy 2+9y 3)+(-2y 3+2xy 2+x 2y-2x 3)-(4x 2y-x 3-3xy 2+7y 3)=062、-3x 2y+2x 2y+3xy 2-2xy 2 = -x 2y+xy 263、3(a 2-2ab )-2(-3ab+b 2)=3a 2-2b 264、5abc-{2a 2b-[3abc-(4a 2b-ab 2]}=8abc-6a 2b+ab 265、5m 2-[m 2+(5m 2-2m )-2(m 2-3m )]=m 2-4m66、-[2m-3(m-n+1)-2]-1=m-3n+4 67、31a-( 21a-4b-6c)+3(-2c+2b)= -61a+10b 68、 -5a n -a n -(-7a n )+(-3a n )= -2a n69、x 2y-3xy 2+2yx 2-y 2x=3x 2y-4xy 271、 41a 2b-0.4ab 2- 21a 2b+ 52ab 2 = -41a 2b71、3a-{2c-[6a-(c-b )+c+(a+8b-6)]}= 10a+9b-2c-672、-3(xy-2x 2)-[y 2-(5xy-4x 2)+2xy]= 2x 2-y 2 73、化简、求值21x 2-2212- (x + y )2⎡⎤⎢⎥⎣⎦-23(-32x 2+31y 2),其中x =-2, y =-34 原式=2x 2+21y 2-2 =698 74、化简、求值21x -2(x -31y 2)+(-23x +31y 2),其中x =-2,y =-32. 原式=-3x+y 2=694 75、x x x x x x 5)64(213223312323-++-⎪⎭⎫ ⎝⎛---其中x =-121; 原式=x 3+x 2-x+6=68376、 化简,求值(4m+n )-[1-(m-4n )],m=52 n=-131 原式=5m-3n-1=577、化简、求值2(a 2b +2b 3-ab 3)+3a 3-(2ba 2-3ab 2+3a 3)-4b 3,其中a =-3,b =2原式=-2ab 3+3ab 2=1278、化简,求值:(2x 3-xyz )-2(x 3-y 3+xyz )+(xyz-2y 3),其中x=1,y=2,z=-3. 原式=-2xyz=679、化简,求值:5x 2-[3x-2(2x-3)+7x 2],其中x=-2. 原式=-2x 2+x-6=-1680、若两个多项式的和是2x 2+xy+3y 2,一个加式是x 2-xy ,求另一个加式.(2x 2+xy+3y 2 ) ——( x 2-xy )= x 2+2xy+3y 281、若2a 2-4ab+b 2与一个多项式的差是-3a 2+2ab-5b 2,试求这个多项式.( 2a 2-4ab+b 2 )—(-3a 2+2ab-5b 2)=5a 2 -6ab+6b 282、求5x 2y -2x 2y 与-2xy 2+4x 2y 的和.(5x 2y -2x 2y )+(-2xy 2+4x 2y )=3xy 2+2x 2y83、 求3x 2+x -5与4-x +7x 2的差.(3x 2+x -5)—(4-x +7x 2)=—4x 2+2x -9 84、计算 5y+3x+5z 2与12y+7x-3z 2的和(5y+3x+5z 2)+(12y+7x-3z 2)=17y+10x+2z 285、计算8xy 2+3x 2y-2与-2x 2y+5xy 2-3的差(8xy 2+3x 2y-2)—(-2x 2y+5xy 2-3)=5x 2y+3xy 2+1 86、 多项式-x 2+3xy-21y 与多项式M 的差是-21x 2-xy+y ,求多项式M—23y 87、当3(x 2-2xy )-[3x 2-2y+2(xy+y )]的值. 原式=-8xy+y= —1588、化简再求值5abc-{2a 2b-[3abc-(4ab 2-a 2b )]-2ab 2},其中a=-2,b=3,c=-41 原式=83abc-a 2b-2ab 2=3689、已知A=a 2-2ab+b 2,B=a 2+2ab+b 2(1)求A+B ;(2)求41(B-A); A+B=2a 2+2b 2 41(B-A)=ab 90、小明同学做一道题,已知两个多项式A ,B ,计算A+B ,他误将A+B 看作A-B ,求得 9x 2-2x+7,若B=x 2+3x-2,你能否帮助小明同学求得正确答案?A=10x 2+x+5 A+B=11x 2+4x+391、已知:M=3x 2+2x-1,N=-x 2-2+3x ,求M-2N .M-2N=5x 2-4x+3 92、已知222244,5A x xy y B x xy y =-+=+-,求3A -B3A -B=11x 2-13xy+8y 293、已知A =x 2+xy +y 2,B =-3xy -x 2,求2A -3B .2A -3B= 5x 2+11xy +2y 294、已知2 a +(b +1)2=0,求5ab 2-[2a 2b -(4ab 2-2a 2b )]的值.原式=9ab 2-4a 2b=3495、化简求值:5abc-2a 2b+[3abc-2(4ab 2-a 2b )],其中a 、b 、c 满足|a-1|+|b-2|+c 2=0. 原式=8abc-8a 2b=-32 96、已知a ,b ,z 满足:(1)已知|x-2|+(y+3)2=0,(2)z 是最大的负整数,化简求值: 2(x 2y+xyz )-3(x 2y-xyz )-4x 2y .原式=-5x 2y+5xyz=9097、已知a+b=7,ab=10,求代数式(5ab+4a+7b )+(6a-3ab )-(4ab-3b )的值. 原式=10a+10b-2ab=5098、已知m 2+3mn=5,求5m 2-[+5m 2-(2m 2-mn )-7mn-5]的值原式=2m 2+6mn+5=15 99、设A=2x 2-3xy+y 2+2x+2y ,B=4x 2-6xy+2y 2-3x-y ,若|x-2a|+(y-3)2=0,且B-2A=a ,求a 的值.B-2A=-7x-5y=-14a-15=a a=-1100、有两个多项式:A =2a 2-4a +1,B =2(a 2-2a )+3,当a 取任意有理数时,请比较A 与B 的大小.A=2a 2-4a +1 B =2a 2-4a +3 所以A<B。
整式的加减专项练习1、3(a+5b)-2(b-a)2、3a-(2b-a)+b3、2(2a2+9b)+3(-5a2-4b)4、(x3-2y3-3x2y)-(3x3-3y3-7x2y)5、3x2-[7x-(4x-3)-2x2]6、(2xy-y)-(-y+yx)7、5(a2b-3ab2)-2(a2b-7ab)8、(-2ab+3a)-2(2a-b)+2ab 9、(7m2n-5mn)-(4m2n-5mn)10、(5a2+2a-1)-4(3-8a+2a2).11、-3x2y+3xy2+2x2y-2xy2;12、2(a-1)-(2a-3)+3.13、-2(ab-3a2)-[2b2-(5ab+a2)+2ab]14、(x2-xy+y)-3(x2+xy-2y)15、3x2-[7x-(4x-3)-2x2]16、a2b-[2(a2b-2a2c)-(2bc+a2c)];17、-2y3+(3xy2-x2y)-2(xy2-y3).18、2(2x-3y)-(3x+2y+1)19、-(3a2-4ab)+[a2-2(2a+2ab)].20、5m-7n-8p+5n-9m-p ;21、(5x 2y-7xy 2)-(xy 2-3x 2y ); 22、3(-3a 2-2a )-[a 2-2(5a-4a 2+1)-3a].23、3a 2-9a+5-(-7a 2+10a-5); 24、-3a 2b-(2ab 2-a 2b )-(2a 2b+4ab 2).25、(5a-3a 2+1)-(4a 3-3a 2); 26、-2(ab-3a 2)-[2b 2-(5ab+a 2)+2ab]27、(8xy -x 2+y 2)+(-y 2+x 2-8xy ); 28、(2x 2-21+3x )-4(x -x 2+21);29、3x 2-[7x -(4x -3)-2x 2]. 30、5a+(4b-3a )-(-3a+b );31、(3a 2-3ab+2b 2)+(a 2+2ab-2b 2); 32、2a 2b+2ab 2-[2(a 2b-1)+2ab 2+2].33、(2a 2-1+2a )-3(a-1+a 2); 34、2(x 2-xy )-3(2x 2-3xy )-2[x 2-(2x 2-xy+y 2)].35、 -32ab +43a 2b +ab +(-43a 2b )-1 36、(8xy -x 2+y 2)+(-y 2+x 2-8xy );37、2x -(3x -2y +3)-(5y -2); 38、-(3a +2b )+(4a -3b +1)-(2a -b -3)39、4x 3-(-6x 3)+(-9x 3) 40、3-2xy +2yx 2+6xy -4x 2y41、 1-3(2ab +a )十[1-2(2a -3ab )].42、 3x -[5x +(3x -2)];43、(3a 2b -ab 2)-(ab 2+3a 2b ) 44、()[]{}y x x y x --+--3233245、(-x 2+5+4x 3)+(-x 3+5x -4) 46、(5a 2-2a+3)-(1-2a+a 2)+3(-1+3a-a 2).47、5(3a 2b-ab 2)-4(-ab 2+3a 2b ). 48、4a 2+2(3ab-2a 2)-(7ab-1).49、 21xy+(-41xy )-2xy 2-(-3y 2x ) 50、5a 2-[a 2-(5a 2-2a )-2(a 2-3a )]51、5m-7n-8p+5n-9m+8p 52、(5x 2y-7xy 2)-(xy 2-3x 2y )53、 3x 2y-[2x 2y-3(2xy-x 2y )-xy] 54、 3x 2-[5x-4(21x 2-1)]+5x 255、2a 3b- 21a 3b-a 2b+ 21a 2b-ab 2;56、(a 2+4ab-4b 2)-3(a 2+b 2)-7(b 2-ab ).57、a 2+2a 3+(-2a 3)+(-3a 3)+3a 2;58、5ab+(-4a 2b 2)+8ab 2-(-3ab )+(-a 2b )+4a 2b 2; 59、(7y-3z )-(8y-5z );60、-3(2x 2-xy )+4(x 2+xy-6).61、(x 3+3x 2y-5xy 2+9y 3)+(-2y 3+2xy 2+x 2y-2x 3)-(4x 2y-x 3-3xy 2+7y 3)62、-3x 2y+2x 2y+3xy 2-2xy 2; 63、3(a 2-2ab )-2(-3ab+b 2);64、5abc-{2a 2b-[3abc-(4a 2b-ab 2]}.65、5m 2-[m 2+(5m 2-2m )-2(m 2-3m )].66、-[2m-3(m-n+1)-2]-1.67、31a-( 21a-4b-6c)+3(-2c+2b)68、 -5a n -a n -(-7a n )+(-3a n ) 69、x 2y-3xy 2+2yx 2-y 2x70、 41a 2b-0.4ab 2- 21a 2b+ 52ab 2;71、3a-{2c-[6a-(c-b )+c+(a+8b-6)]}72、-3(xy-2x 2)-[y 2-(5xy-4x 2)+2xy];73、化简、求值21x 2-2212- (x + y )2⎡⎤⎢⎥⎣⎦-23(-32x 2+31y 2),其中x =-2, y =-3474、化简、求值21x -2(x -31y 2)+(-23x +31y 2),其中x =-2,y =-3275、x x x x x x 5)64(213223312323-++-⎪⎭⎫ ⎝⎛---其中x =-121;76、 化简,求值(4m+n )-[1-(m-4n )],m=52 n=-13177、化简、求值2(a2b+2b3-ab3)+3a3-(2ba2-3ab2+3a3)-4b3,其中a=-3,b=278、化简,求值:(2x3-xyz)-2(x3-y3+xyz)+(xyz-2y3),其中x=1,y=2,z=-3.79、化简,求值:5x2-[3x-2(2x-3)+7x2],其中x=-2.80、若两个多项式的和是2x2+xy+3y2,一个加式是x2-xy,求另一个加式.81、若2a2-4ab+b2与一个多项式的差是-3a2+2ab-5b2,试求这个多项式.82、求5x2y-2x2y与-2xy2+4x2y的和.83、求3x2+x-5与4-x+7x2的差.84、计算 5y+3x+5z2与12y+7x-3z2的和85、计算8xy2+3x2y-2与-2x2y+5xy2-3的差86、 多项式-x 2+3xy-21y 与多项式M 的差是-21x 2-xy+y ,求多项式M87、当x=-21,y=-3时,求代数式3(x 2-2xy )-[3x 2-2y+2(xy+y )]的值.88、化简再求值5abc-{2a 2b-[3abc-(4ab 2-a 2b )]-2ab 2},其中a=-2,b=3,c=-4189、已知A=a 2-2ab+b 2,B=a 2+2ab+b 2(1)求A+B ; (2)求41(B-A);90、小明同学做一道题,已知两个多项式A ,B ,计算A+B ,他误将A+B 看作A-B ,求得9x 2-2x+7,若B=x 2+3x-2,你能否帮助小明同学求得正确答案?91、已知:M=3x 2+2x-1,N=-x 2-2+3x ,求M-2N .92、已知222244,5A x xy y B x xy y =-+=+-,求3A -B93、已知A =x 2+xy +y 2,B =-3xy -x 2,求2A -3B .94、已知2 a +(b +1)2=0,求5ab 2-[2a 2b -(4ab 2-2a 2b )]的值.95、化简求值:5abc-2a 2b+[3abc-2(4ab 2-a 2b )],其中a 、b 、c 满足|a-1|+|b-2|+c 2=0.96、已知a ,b ,z 满足:(1)已知|x-2|+(y+3)2=0,(2)z 是最大的负整数,化简求值:2(x 2y+xyz )-3(x 2y-xyz )-4x 2y .97、已知a+b=7,ab=10,求代数式(5ab+4a+7b )+(6a-3ab )-(4ab-3b )的值.98、已知m 2+3mn=5,求5m 2-[+5m 2-(2m 2-mn )-7mn-5]的值99、设A=2x 2-3xy+y 2+2x+2y ,B=4x 2-6xy+2y 2-3x-y ,若|x-2a|+(y-3)2=0,且B-2A=a ,求a 的值.100、有两个多项式:A =2a 2-4a +1,B =2(a 2-2a )+3,当a 取任意有理数时,请比较A 与B 的大小.整式的加减专项练习答案:1、3(a+5b )-2(b-a )=5a+13b2、3a-(2b-a )+b=4a-b .3、2(2a 2+9b )+3(-5a 2-4b )=—11a 2+6b 2 4、(x 3-2y 3-3x 2y )-(3x 3-3y 3-7x 2y )= -2x 3+y 3+4x 2y5、3x 2-[7x-(4x-3)-2x 2] = 5x 2 -3x-36、(2xy-y )-(-y+yx )= xy7、5(a 22b-3ab 2)-2(a 2b-7ab ) = -a 2b+11ab 8、(-2ab+3a )-2(2a-b )+2ab= -2a+b9、(7m 2n-5mn )-(4m 2n-5mn )= 3m 2n10、(5a 2+2a-1)-4(3-8a+2a 2)= -3a 2+34a-1311、-3x 2y+3xy 2+2x 2y-2xy 2= -x 2y+xy 212、2(a-1)-(2a-3)+3.=413、-2(ab-3a 2)-[2b 2-(5ab+a 2)+2ab]= 7a 2+ab-2b 214、(x 2-xy+y )-3(x 2+xy-2y )= -2x 2-4xy+7y15、3x 2-[7x-(4x-3)-2x 2]=5x 2-3x-3 16、a 2b-[2(a 2b-2a 2c )-(2bc+a 2c )]= -a 2b+2bc+6a 2c17、-2y 3+(3xy 2-x 2y )-2(xy 2-y 3)= xy 2-x 2y18、2(2x-3y )-(3x+2y+1)=2x-8y-1 19、-(3a 2-4ab )+[a 2-2(2a+2ab )]=-2a 2-4a20、5m-7n-8p+5n-9m-p = -4m-2n-9p21、(5x 2y-7xy 2)-(xy 2-3x 2y )=4xy 2-4x 2y22、3(-3a 2-2a )-[a 2-2(5a-4a 2+1)-3a]=-18a 2 +7a+223、3a 2-9a+5-(-7a 2+10a-5)=10a 2-19a+1024、-3a 2b-(2ab 2-a 2b )-(2a 2b+4ab 2)= -4a 2b-64ab 225、(5a-3a 2+1)-(4a 3-3a 2)=5a-4a 2+126、-2(ab-3a 2)-[2b 2-(5ab+a 2)+2ab]=7a 2+ab-2b 2 27、(8xy -x 2+y 2)+(-y 2+x 2-8xy )=028、(2x 2-21+3x )-4(x -x 2+21) = 6x 2-x-25 29、3x 2-[7x -(4x -3)-2x 2]= 5x 2-3x -330、5a+(4b-3a )-(-3a+b )= 5a+3b31、(3a 2-3ab+2b 2)+(a 2+2ab-2b 2)= 4a 2-ab32、2a 2b+2ab 2-[2(a 2b-1)+2ab 2+2].= -133、(2a 2-1+2a )-3(a-1+a 2)= -a 2-a+234、2(x 2-xy )-3(2x 2-3xy )-2[x 2-(2x 2-xy+y 2)]=-2x 2+5xy-2y 235、-32ab +43a 2b +ab +(-43a 2b )-1 = 31ab-1 36、(8xy -x 2+y 2)+(-y 2+x 2-8xy )=037、2x -(3x -2y +3)-(5y -2)=-x-3y-138、-(3a +2b )+(4a -3b +1)-(2a -b -3)= -a-4b+439、4x 3-(-6x 3)+(-9x 3)= x 340、3-2xy +2yx 2+6xy -4x 2y = -2 x 2y+441、 1-3(2ab +a )十[1-2(2a -3ab )]=2-7a42、 3x -[5x +(3x -2)]=-5x+243、(3a 2b -ab 2)-(ab 2+3a 2b )= -2ab 244、()[]{}y x x y x --+--32332 = 5x+y45、(-x 2+5+4x 3)+(-x 3+5x -4)= 3x 3-x 2+5x+146、(5a 2-2a+3)-(1-2a+a 2)+3(-1+3a-a 2)=a 2+9a-147、5(3a 2b-ab 2)-4(-ab 2+3a 2b ).=3a 2b-ab 248、4a 2+2(3ab-2a 2)-(7ab-1)=1-ab49、 21xy+(-41xy )-2xy 2-(-3y 2x )=41xy+xy 2 50、5a 2-[a 2-(5a 2-2a )-2(a 2-3a )]=11a 2-8a51、5m-7n-8p+5n-9m+8p=-4m-2n 52、(5x 2y-7xy 2)-(xy 2-3x 2y )=8x 2y-6xy 253、 3x 2y-[2x 2y-3(2xy-x 2y )-xy]=-2x 2y+7xy54、 3x 2-[5x-4( 21x 2-1)]+5x 2 = 10x 2-5x-4 55、2a 3b- 21a 3b-a 2b+ 21a 2b-ab 2 = 23a 3b- 21a 2b-ab 2 56、(a 2+4ab-4b 2)-3(a 2+b 2)-7(b 2-ab )=-2a 2+11ab-14b 257、a 2+2a 3+(-2a 3)+(-3a 3)+3a 2 = -3a 3+4a 2 58、5ab+(-4a 2b 2)+8ab 2-(-3ab )+(-a 2b )+4a 2b 2=8ab+8ab 2-a 2b59、(7y-3z )-(8y-5z )=-y+2z60、-3(2x 2-xy )+4(x 2+xy-6)=-2x 2+7xy-24 61、(x 3+3x 2y-5xy 2+9y 3)+(-2y 3+2xy 2+x 2y-2x 3)-(4x 2y-x 3-3xy 2+7y 3)=0 62、-3x 2y+2x 2y+3xy 2-2xy 2 = -x 2y+xy 263、3(a 2-2ab )-2(-3ab+b 2)=3a 2-2b 264、5abc-{2a 2b-[3abc-(4a 2b-ab 2]}=8abc-6a 2b+ab 265、5m 2-[m 2+(5m 2-2m )-2(m 2-3m )]=m 2-4m66、-[2m-3(m-n+1)-2]-1=m-3n+467、31a-( 21a-4b-6c)+3(-2c+2b)= -61a+10b 68、 -5a n -a n -(-7a n )+(-3a n )= -2a n69、x 2y-3xy 2+2yx 2-y 2x=3x 2y-4xy 271、 41a 2b-0.4ab 2- 21a 2b+ 52ab 2 = -41a 2b 71、3a-{2c-[6a-(c-b )+c+(a+8b-6)]}= 10a+9b-2c-672、-3(xy-2x 2)-[y 2-(5xy-4x 2)+2xy]= 2x 2-y 2 73、化简、求值21x 2-2212- (x + y )2⎡⎤⎢⎥⎣⎦-23(-32x 2+31y 2),其中x =-2, y =-34 原式=2x 2+21y 2-2 =698 74、化简、求值21x -2(x -31y 2)+(-23x +31y 2),其中x =-2,y =-32 原式=-3x+y 2=69475、x x x x x x 5)64(213223312323-++-⎪⎭⎫ ⎝⎛---其中x =-121; 原式=x 3+x 2-x+6=68376、 化简,求值(4m+n )-[1-(m-4n )],m=52 n=-131 原式=5m-3n-1=577、化简、求值2(a 2b +2b 3-ab 3)+3a 3-(2ba 2-3ab 2+3a 3)-4b 3,其中a =-3,b =2原式=-2ab 3+3ab 2=1278、化简,求值:(2x 3-xyz )-2(x 3-y 3+xyz )+(xyz-2y 3),其中x=1,y=2,z=-3.原式=-2xyz=679、化简,求值:5x 2-[3x-2(2x-3)+7x 2],其中x=-2.原式=-2x 2+x-6=-16 80、若两个多项式的和是2x 2+xy+3y 2,一个加式是x 2-xy ,求另一个加式.(2x 2+xy+3y 2 ) ——( x 2-xy )= x 2+2xy+3y 281、若2a 2-4ab+b 2与一个多项式的差是-3a 2+2ab-5b 2,试求这个多项式.( 2a 2-4ab+b 2 )—(-3a 2+2ab-5b 2)=5a 2 -6ab+6b 282、求5x 2y -2x 2y 与-2xy 2+4x 2y 的和.(5x 2y -2x 2y )+(-2xy 2+4x 2y )=3xy 2+2x 2y83、 求3x 2+x -5与4-x +7x 2的差.(3x 2+x -5)—(4-x +7x 2)=—4x 2+2x -984、计算 5y+3x+5z 2与12y+7x-3z 2的和(5y+3x+5z 2)+(12y+7x-3z 2)=17y+10x+2z 285、计算8xy 2+3x 2y-2与-2x 2y+5xy 2-3的差(8xy 2+3x 2y-2)—(-2x 2y+5xy 2-3)=5x 2y+3xy 2+186、 多项式-x 2+3xy-21y 与多项式M 的差是-21x 2-xy+y ,求多项式M M=-21x 2+4xy —23y 87、当x=- 21,y=-3时,求代数式3(x 2-2xy )-[3x 2-2y+2(xy+y )]的值. 原式=-8xy+y= —1588、化简再求值5abc-{2a 2b-[3abc-(4ab 2-a 2b )]-2ab 2},其中a=-2,b=3,c=-41 原式=83abc-a 2b-2ab 2=3689、已知A=a 2-2ab+b 2,B=a 2+2ab+b 2 (1)求A+B ;(2)求41(B-A); A+B=2a 2+2b 2 41(B-A)=ab 90、小明同学做一道题,已知两个多项式A ,B ,计算A+B ,他误将A+B 看作A-B ,求得 9x 2-2x+7,若B=x 2+3x-2,你能否帮助小明同学求得正确答案?A=10x 2+x+5 A+B=11x 2+4x+391、已知:M=3x 2+2x-1,N=-x 2-2+3x ,求M-2N .M-2N=5x 2-4x+392、已知222244,5A x xy y B x xy y =-+=+-,求3A -B3A -B=11x 2-13xy+8y 293、已知A =x 2+xy +y 2,B =-3xy -x 2,求2A -3B .2A -3B= 5x 2+11xy +2y 294、已知2-a +(b +1)2=0,求5ab 2-[2a 2b -(4ab 2-2a 2b )]的值. 原式=9ab 2-4a 2b=3495、化简求值:5abc-2a 2b+[3abc-2(4ab 2-a 2b )],其中a 、b 、c 满足|a-1|+|b-2|+c 2=0. 原式=8abc-8a 2b=-3296、已知a ,b ,z 满足:(1)已知|x-2|+(y+3)2=0,(2)z 是最大的负整数,化简求值: 2(x 2y+xyz )-3(x 2y-xyz )-4x 2y .原式=-5x 2y+5xyz=9097、已知a+b=7,ab=10,求代数式(5ab+4a+7b )+(6a-3ab )-(4ab-3b )的值. 原式=10a+10b-2ab=5098、已知m 2+3mn=5,求5m 2-[+5m 2-(2m 2-mn )-7mn-5]的值原式=2m 2+6mn+5=1599、设A=2x 2-3xy+y 2+2x+2y ,B=4x 2-6xy+2y 2-3x-y ,若|x-2a|+(y-3)2=0,且B-2A=a ,求a 的值. B-2A=-7x-5y=-14a-15=a a=-1100、有两个多项式:A =2a 2-4a +1,B =2(a 2-2a )+3,当a 取任意有理数时,请比较A与B 的大小. A=2a 2-4a +1 B =2a 2-4a +3 所以A<B。
1、3(a+5b)-2(b-a)2、3a-(2b-a)+b3、2(2a2+9b)+3(-5a2-4b)4、(x3-2y3-3x2y)-(3x3-3y3-7x2y)5、3x2-[7x-(4x-3)-2x2]6、(2xy-y)-(-y+yx)7、5(a2b-3ab2)-2(a2b-7ab)8、(-2ab+3a)-2(2a-b)+2ab9、(7m2n-5mn)-(4m2n-5mn)10、(5a2+2a-1)-4(3-8a+2a2)11、-3x2y+3xy2+2x2y-2xy212、2(a-1)-(2a-3)+313、-2(ab-3a2)-[2b2-(5ab+a2)+2ab]14、(x2-xy+y)-3(x2+xy-2y)15、3x2-[7x-(4x-3)-2x2]a2b-[2(a2b-2a2c)-(2bc+a2c)]17、-2y3+(3xy2-x2y)-2(xy2-y3)18、2(2x-3y)-(3x+2y+1)19、-(3a2-4ab)+[a2-2(2a+2ab)]20、5m-7n-8p+5n-9m-p21、(5x2y-7xy2)-(xy2-3x2y)22、3(-3a2-2a)-[a2-2(5a-4a2+1)-3a]23、3a2-9a+5-(-7a2+10a-5)24、-3a2b-(2ab2-a2b)-(2a2b+4ab2)25、(5a-3a2+1)-(4a3-3a2)26、-2(ab-3a2)-[2b2-(5ab+a2)+2ab]27、(8xy-x2+y2)+(-y2+x2-8xy)28、(2x2-21+3x)-4(x-x2+21)29、3x2-[7x-(4x-3)-2x2]30、5a+(4b-3a)-(-3a+b);31、(3a2-3ab+2b2)+(a2+2ab-2b2);32、2a2b+2ab2-[2(a2b-1)+2ab2+2].33、(2a 2-1+2a )-3(a-1+a 2);34、2(x 2-xy )-3(2x 2-3xy )-2[x 2-(2x 2-xy+y 2)].35、 -32ab +43a 2b +ab +(-43a 2b )-136、(8xy -x 2+y 2)+(-y 2+x 2-8xy );37、2x -(3x -2y +3)-(5y -2);38、-(3a +2b )+(4a -3b +1)-(2a -b -3)39、4x 3-(-6x 3)+(-9x 3)40、3-2xy +2yx 2+6xy -4x 2y41、 1-3(2ab +a )十[1-2(2a -3ab )].56、(a 2+4ab-4b 2)-3(a 2+b 2)-7(b 2-ab )57、a 2+2a 3+(-2a 3)+(-3a 3)+3a 258、5ab+(-4a 2b 2)+8ab 2-(-3ab )+(-a 2b )+4a 2b 2;59、(7y-3z)-(8y-5z);60、-3(2x2-xy)+4(x2+xy-6).61、(x3+3x2y-5xy2+9y3)+(-2y3+2xy2+x2y-2x3)-(4x2y-x3-3xy2+7y3)62、-3x2y+2x2y+3xy2-2xy2;63、3(a2-2ab)-2(-3ab+b2);64、5abc-{2a2b-[3abc-(4a2b-ab2]}.65、5m2-[m2+(5m2-2m)-2(m2-3m)].66、-[2m-3(m-n+1)-2]-1.67、31a-(21a-4b-6c)+3(-2c+2b) -5a n-a n-(-7a n)+(-3a n)69、x2y-3xy2+2yx2-y2x70、71、3a-{2c-[6a-(c-b)+c+(a+8b-6)]}72、-3(xy-2x2)-[y2-(5xy-4x2)+2xy];73、化简、求值21x2-2212- (x+ y)2⎡⎤⎢⎥⎣⎦-23(-32x2+31y2),其中x=-2,y =-3474、化简、求值21x -2(x -31y 2)+(-23x +31y 2),其中x =-2,y =-32.75、x x x x x x 5)64(213223312323-++-⎪⎭⎫ ⎝⎛---其中x =-121;76、 化简,求值(4m+n )-[1-(m-4n )],m=52 n=-13177、化简、求值2(a 2b +2b 3-ab 3)+3a 3-(2ba 2-3ab 2+3a 3)-4b 3,其中a =-3,b =278、化简,求值:(2x 3-xyz )-2(x 3-y 3+xyz )+(xyz-2y 3),其中x=1,y=2,z=-3.79、化简,求值:5x 2-[3x-2(2x-3)+7x 2],其中x=-2.80、若两个多项式的和是2x 2+xy+3y 2,一个加式是x 2-xy ,求另一个加式.81、若2a 2-4ab+b 2与一个多项式的差是-3a 2+2ab-5b 2,试求这个多项式.82、求5x 2y -2x 2y 与-2xy 2+4x 2y 的和.83、 求3x 2+x -5与4-x +7x 2的差.84、计算 5y+3x+5z 2与12y+7x-3z 2的和85、计算8xy 2+3x 2y-2与-2x 2y+5xy 2-3的差86、 多项式-x 2+3xy-21y 与多项式M 的差是-21x 2-xy+y ,求多项式M87、当求代数式3(x 2-2xy )-[3x 2-2y+2(xy+y )]的值.88、化简再求值5abc-{2a 2b-[3abc-(4ab 2-a 2b )]-2ab 2},其中a=-2,b=3,c=-4189、已知A=a 2-2ab+b 2,B=a 2+2ab+b 2(1)求A+B ;(2)求41(B-A);90、小明同学做一道题,已知两个多项式A ,B ,计算A+B ,他误将A+B 看作A-B ,求得9x 2-2x+7,若B=x 2+3x-2,你能否帮助小明同学求得正确答案?91、已知:M=3x 2+2x-1,N=-x 2-2+3x ,求M-2N .92、已知222244,5A x xy y B x xy y =-+=+-,求3A -B93、已知A =x 2+xy +y 2,B =-3xy -x 2,求2A -3B .94、已知2-a +(b +1)2=0,求5ab 2-[2a 2b -(4ab 2-2a 2b )]的值.95、化简求值:5abc-2a2b+[3abc-2(4ab2-a2b)],其中a、b、c满足|a-1|+|b-2|+c2=0.96、已知a,b,z满足:(1)已知|x-2|+(y+3)2=0,(2)z是最大的负整数,化简求值:2(x2y+xyz)-3(x2y-xyz)-4x2y.97、已知a+b=7,ab=10,求代数式(5ab+4a+7b)+(6a-3ab)-(4ab-3b)的值.98、已知m2+3mn=5,求5m2-[+5m2-(2m2-mn)-7mn-5]的值99、设A=2x2-3xy+y2+2x+2y,B=4x2-6xy+2y2-3x-y,若|x-2a|+(y-3)2=0,且B-2A=a,求a的值.100、有两个多项式:A=2a2-4a+1,B=2(a2-2a)+3,当a取任意有理数时,请比较A与B的大小.答案:1、3(a+5b )-2(b-a )=5a+13b2、3a-(2b-a )+b=4a-b .3、2(2a 2+9b )+3(-5a 2-4b )=—11a 2+6b 24、(x 3-2y 3-3x 2y )-(3x 3-3y 3-7x 2y )= -2x 3+y 3+4x 2y 5、3x 2-[7x-(4x-3)-2x 2]= 5x 2-3x-36、(2xy-y )-(-y+yx )= xy7、5(a 22b-3ab 2)-2(a 2b-7ab ) = -a 2b+11ab8、(-2ab+3a )-2(2a-b )+2ab= -2a+b 9、(7m 2n-5mn )-(4m 2n-5mn)= 3m 2n10、(5a 2+2a-1)-4(3-8a+2a 2)= -3a 2+34a-13 11、-3x 2y+3xy 2+2x 2y-2xy 2= -x 2y+xy 212、2(a-1)-(2a-3)+3.=4 13、-2(ab-3a 2)-[2b 2-(5ab+a 2)+2ab]= 7a 2+ab-2b 214、(x 2-xy+y )-3(x 2+xy-2y )= -2x 2-4xy+7y 15、3x 2-[7x-(4x-3)-2x 2]=5x 2-3x-316、a 2b-[2(a 2b-2a 2c )-(2bc+a 2c )]= -a 2b+2bc+6a 2c 17、-2y 3+(3xy 2-x 2y )-2(xy 2-y 3)= xy 2-x 2y18、2(2x-3y )-(3x+2y+1)=2x-8y-1 19、-(3a 2-4ab )+[a 2-2(2a+2ab )]=-2a 2-4a20、5m-7n-8p+5n-9m-p = -4m-2n-9p 21、(5x 2y-7xy 2)-(xy 2-3x 2y )=4xy 2-4x 2y22、3(-3a 2-2a )-[a 2-2(5a-4a 2+1)-3a]=-18a 2+7a+2 23、3a 2-9a+5-(-7a 2+10a-5)=10a 2-19a+1024、-3a 2b-(2ab 2-a 2b )-(2a 2b+4ab 2)= -4a 2b-64ab 225、(5a-3a 2+1)-(4a 3-3a 2)=5a-4a 2+1 26、-2(ab-3a 2)-[2b 2-(5ab+a 2)+2ab]=7a 2+ab-2b 227、(8xy -x 2+y 2)+(-y 2+x 2-8xy )=0 28、(2x 2-21+3x )-4(x -x 2+21) = 6x 2-x-25 29、3x 2-[7x -(4x -3)-2x 2]= 5x 2-3x -3 30、5a+(4b-3a )-(-3a+b )= 5a+3b31、(3a 2-3ab+2b 2)+(a 2+2ab-2b 2)= 4a 2-ab 32、2a 2b+2ab 2-[2(a 2b-1)+2ab 2+2].= -133、()-3(a-1+a 2)= -a 2-a+2 34、2(x 2-xy )-3(2x 2-3xy )-2[x 2-(2x 2-xy+y ]=-2x 2+5xy-2y235、-32ab +43a 2b +ab +(-43a 2b )-1 = 31ab-1 36、(8xy -x 2+y 2)+(-y 2+x 2-8xy )=0 37、2x -(3x -2y +3)-(5y -2)=-x-3y-1 38、-(3a +2b )+(4a -3b +1)-(2a -b -3)= -a-4b+4 39、4x 3-(-6x 3)+(-9x 3)= x 3 40、3-2xy +2yx 2+6xy -4x 2y = -2 x 2y+441、 1-3(2ab +a )十[1-2(2a -3ab )]=2-7a 42、 3x -[5x +(3x -2)]=-5x+243、(3a 2b -ab 2)-(ab 2+3a 2b )= -2ab 244、()[]{}y x x y x --+--32332 = 5x+y45、(-x 2+5+4x 3)+(-x 3+5x -4)= 3x 3-x 2+5x+1 46、(5a 2-2a+3)-(1-2a+a 2)+3(-1+3a-a 2)=a 2+9a-147、5(3a 2b-ab 2)-4(-ab 2+3a 2b ).=3a 2b-ab 2 48、4a 2+2(3ab-2a 2)-(7ab-1)=1-ab 49、21xy+(-41xy )-2xy 2-(-3y 2x )=41xy+xy 2 50、5a 2-[a 2-(5a 2-2a )-2(a 2-3a )]=11a 2-8a51、5m-7n-8p+5n-9m+8p=-4m-2n 52、(5x 2y-7xy 2)-(xy 2-3x 2y )=8x 2y-6xy253、 3x 2y-[2x 2y-3(2xy-x 2y )-xy]=-2x 2y+7xy54、 3x 2-[5x-4(21x 2-1)]+5x 2 = 10x 2-5x-4 55、2a 3b- 21a 3b-a 2b+ 21a 2b-ab 2 = 23a 3b- 21a 2b-ab 256、(a 2+4ab-4b 2)-3(a 2+b 2)-7(b 2-ab )=-2a 2+11ab-14b 257、a 2+2a 3+(-2a 3)+(-3a 3)+3a 2=-3a 3+4a 258、5ab+(-4a 2b 2)+8ab 2-(-3ab )+(-a 2b )+4a 2b 2=8ab+8ab 2-a 2b 59、(7y-3z )-(8y-5z )=-y+2z 60、-3(2x 2-xy )+4(x 2+xy-6)=-2x 2+7xy-2461、(x 3+3x 2y-5xy 2+9y 3)+(-2y 3+2xy 2+x 2y-2x 3)-(4x 2y-x 3-3xy 2+7y 3)=062、-3x 2y+2x 2y+3xy 2-2xy 2= -x 2y+xy 263、3(a 2-2ab )-2(-3ab+b 2)=3a 2-2b 264、5abc-{2a 2b-[3abc-(4a 2b-ab 2]}=8abc-6a 2b+ab 265、5m 2-[m 2+(5m 2-2m )-2(m 2-3m )]=m 2-4m 66、-[2m-3(m-n+1)-2]-1=m-3n+4 67、31a-( 21a-4b-6c)+3(-2c+2b)= -61a+10b 68、 -5a n-a n-(-7a n)+(-3a n)= -2a n69、x 2y-3xy 2+2yx 2-y 2x=3x 2y-4xy 271、41a 2b-0.4ab 2-21a 2b+52ab 2 = -41a 2b71、3a-{2c-[6a-(c-b )+c+(a+8b-6)]}= 10a+9b-2c-672、-3(xy-2x 2)-[y 2-(5xy-4x 2)+2xy]= 2x 2-y 273、化简、求值21x 2-2212- (x + y )2⎡⎤⎢⎥⎣⎦-23(-32x 2+31y 2),其中x =-2, y=-34 原式=2x 2+21y 2-2 =69874、化简、求值21x -2(x -31y 2)+(-23x +31y 2),其中x =-2,y =-32.原式=-3x+y 2=69475、x x x x x x 5)64(213223312323-++-⎪⎭⎫ ⎝⎛---其中x =-121;原式=x 3+x 2-x+6=68376、 化简,求值(4m+n )-[1-(m-4n )],m=52 n=-131 原式=5m-3n-1=577、化简、求值2(a 2b +2b 3-ab 3)+3a 3-(2ba 2-3ab 2+3a 3)-4b 3,其中a =-3,b =2原式=-2ab 3+3ab 2=12 78、化简,求值:(2x 3-xyz )-2(x 3-y 3+xyz )+(xyz-2y 3),其中x=1,y=2,z=-3.原式=-2xyz=679、化简,求值:5x 2-[3x-2(2x-3)+7x 2],其中x=-2.原式=-2x 2+x-6=-1680、若两个多项式的和是2x 2+xy+3y 2,一个加式是x 2-xy ,求另一个加式. (2x 2+xy+3y 2 ) ——( x 2-xy )= x 2+2xy+3y 281、若2a 2-4ab+b 2与一个多项式的差是-3a 2+2ab-5b 2,试求这个多项式.( 2a 2-4ab+b 2 )—(-3a 2+2ab-5b 2)=5a 2 -6ab+6b 282、求5x 2y -2x 2y 与-2xy 2+4x 2y 的和.(5x 2y -2x 2y )+(-2xy 2+4x 2y )=3xy 2+2x 2y83、 求3x 2+x -5与4-x +7x 2的差.(3x 2+x -5)—(4-x +7x 2)=—4x 2+2x -984、计算 5y+3x+5z 2与12y+7x-3z 2的和(5y+3x+5z 2)+(12y+7x-3z 2)=17y+10x+2z 285、计算8xy 2+3x 2y-2与-2x 2y+5xy 2-3的差(8xy 2+3x 2y-2)—(-2x 2y+5xy 2-3)=5x 2y+3xy 2+186、 多项式-x 2+3xy-21y 与多项式M 的差是-21x 2-xy+y ,求多项式M M=-21x 2+4xy —23y87、当x=- 21,y=-3时,求代数式3(x 2-2xy )-[3x 2-2y+2(xy+y )]的值.原式=-8xy+y= —1588、化简再求值5abc-{2a 2b-[3abc-(4ab 2-a 2b )]-2ab 2},其中a=-2,b=3,c=-41 原式=83abc-a 2b-2ab 2=36 89、已知A=a 2-2ab+b 2,B=a 2+2ab+b 2(1)求A+B ; (2)求41(B-A); A+B=2a 2+2b 241(B-A)=ab 90、小明同学做一道题,已知两个多项式A ,B ,计算A+B ,他误将A+B 看作A-B ,求得9x 2-2x+7,若B=x 2+3x-2,你能否帮助小明同学求得正确答案? A=10x 2+x+5 A+B=11x 2+4x+391、已知:M=3x 2+2x-1,N=-x 2-2+3x ,求M-2N . M-2N=5x 2-4x+392、已知222244,5A x xy y B x xy y =-+=+-,求3A -B 3A -B=11x 2-13xy+8y 293、已知A =x 2+xy +y 2,B =-3xy -x 2,求2A -3B .2A -3B= 5x 2+11xy +2y 294、已知2-a +(b +1)2=0,求5ab 2-[2a 2b -(4ab 2-2a 2b )]的值.原式=9ab 2-4a 2b=3495、化简求值:5abc-2a 2b+[3abc-2(4ab 2-a 2b )],其中a 、b 、c 满足|a-1|+|b-2|+c 2=0.原式=8abc-8a 2b=-3296、已知a ,b ,z 满足:(1)已知|x-2|+(y+3)2=0,(2)z 是最大的负整数,化简求值:2(x 2y+xyz )-3(x 2y-xyz )-4x 2y .原式=-5x 2y+5xyz=9097、已知a+b=7,ab=10,求代数式(5ab+4a+7b )+(6a-3ab )-(4ab-3b )的值.原式=10a+10b-2ab=5098、已知m 2+3mn=5,求5m 2-[+5m 2-(2m 2-mn )-7mn-5]的值 原式=2m 2+6mn+5=1599、设A=2x 2-3xy+y 2+2x+2y ,B=4x 2-6xy+2y 2-3x-y ,若|x-2a|+(y-3)2=0,且B-2A=a ,求a 的值.B-2A=-7x-5y=-14a-15=a a=-1100、有两个多项式:A =2a 2-4a +1,B =2(a 2-2a )+3,当a 取任意有理数时,请比较A 与B 的大小.A=2a 2-4a +1 B =2a 2-4a +3 所以A<B(注:可编辑下载,若有不当之处,请指正,谢谢!)。