整式的加減專項練習100題

1、整式的加減專項演習I. 3(a+5b)-2(b-a)2.3a-(2b-a)+b2 23.2(2a +9b)+3(-5a -4b)332334、(x -2y -3x y)-(3x -3y -7x y)5.3x -7x-(4x-3)-2x 2 2 26、(2xy-y)-(-y+yx)7.5(a b-3ab)-2(a b-7ab)2 28、(-2ab+3a)-2(2a-b)+2ab9.(7mn-5mn)-(4mn-5mn)10.(5a2+2a-1)-4(3-8a+2a2).2 2 2 2II、-3x y+3xy +2x y-2xy ;2 2 212、2(a-1)-(2a-3)+3.13.-2(ab-

2、3a)-2b -(5ab+a)+2ab14.(x2-xy+y)-3(x2+xy-2y)15.3x2-7x-(4x-3)-2x216、a2b-2(a2b-2a2c)-(2bc+a2c);17.-2y3+(3xy2-x2y)-2(xy2-y3).2 218.2(2x-3y)-(3x+2y+1)19.-(3a -4ab)+a -2(2a+2ab).20.5m-7 n-8p+5 n-9m-p;2 2 2 2 223.3a -9a+5-(-7a +10a-5);24.-3a b-(2ab -a b)-(2a2b+4ab2).25、(5a-3a2+1)-(4a3-3a2);26.-2(ab-3a2)-2b

3、2-(5ab+a2)+2ab21、(5x2y-7xy2)-(xy2-3x2y);22.3(-3a2-2a)-a2-2(5a-24a+1)-3a.2 2 2 2 2 127.(8xyx4+y2)+(y2+x28xy); 28.(2x2丄 +3x)24(xx2+!);229.3x2 7x(4x3)2x.30.5a+(4b-3a)-(-3a+b);2 2 2 2 2 2 231.(3a -3ab+2b)+(a +2ab-2b);32.2a b+2ab -2(a b-1)+2ab2+2.33.(2a2-1+2a)-3(a-1+a2);34.2(x2-xy)-3(2x2-3xy)-2x2-(2x2-xy

4、+y2).35、一2ab+3a b+ab+( a b)1 36.(8xyx+y)+(y3442+x8xy);37.2x(3x2y+3)(5y2); 38.(3a+2b)+(4a3b+1)(2ab3)39.4x5(6x3)+(9x3)40.32xy+2yx2+6xy4x2y41.13(2ab+a)十12(2a3ab).42. 3x5x+(3x2);43. (3a2bab2)(ab2+3a2b)442x 3y 3x 2 3x y45.(x2+5+4x3)+(x3+5x4) 46.(5a2-2a+3)-(1-2a+a2)+3(-1+3a-a).47.5(3a2b-ab2)-4(-ab2+3a2b)

5、.48.4a2+2(3ab-2a2)-42221253. 3x y-2x y-3(2xy-x y)-xy54.3x -5x-4(1x -1)+5x2(7ab-1).49.1xy+(-1xy)-2xy2-(-3y2x)50.5a2-a2-(5a2-2a)-224(-3a)222251.5m-7n-8p+5n-9m+8p52.(5x y-7xy)-(xy -3x y)55. 2a3b-!a3b-a2b+1a2b-ab2;2 256、(a2+4ab-4b2)-3(a2+b2)-7(b2-ab) .57.a2+2a3+(-2a3)+(-3a)+3a;2 2 2 2 2 258.5ab+(-4a b)+

6、8ab -(-3ab)+(-a b)+4a b ; 59.(7y-3z)-(8y-5z)62、-3x2y+2x2y+3xy2-2xy2;63.3(a2-2ab)-2(-3ab+b2);64.5abc-2a2b-3abc-(4a2b-ab2.65.5m2-m2+(5ni-2m)-22(m-3m).66、-2m-3(m-n+1)-2-1.67、-a-(-a-4b-6c)+3(-2c+2b)3268、 -5an-an-(-7an)+(-3an)69.x2y-3xy2+2yx2-y2x70、la22-a2b+2ab2;71.3a-2c-6a-(c-b)+c+(a+8b-6)42572. -3(xy-2

7、x2)-y2-(5xy-4x2)+2xy;I73.化簡.求值】x22- Cx2+ y2)3(2x2+Zy2),個中x=-2,y22233=_4374.化簡.求值2(xZy2)+(3x+1y2),個中x= 2,y=23232375.13x332x2231 x3x2(4x 6) 5x個中1x=11；3232276、化簡,求值(4m+r)-1-(m-4n),m=-n=-1 -5360、-3(2x2-xy)+4(x2+xy-6)61.(x3+3x2y-5xy+x2y-2x(4x2y-x3xy+7y3+(-2y +y9+77.化簡.求值2(a2b+2b3ab3)+3a3(2ba23ab2+3a3)4b3

8、,個中a=3,b=278.化簡，求值： (2x3-xyz)-2(x3-y3+xyz)+(xyz-2y3),個中x=1,y=2,z=-3.2279.化簡，求值：5x -3x-2(2x-3)+7x ,個中x=-2.22280.若兩個多項式的和是2x +xy+3y ,一個加式是x -xy,求另一個 加式.81.若2a2-4ab+b2與一個多項式的差是-3a2+2ab-5b2,試求這個多項 式.82.求5x2y2x2y與2xy2+4x2y的和.83.求3x+x5與4x+7x的差.84.盤算5y+3x+5z2與12y+7x-3z2的和85.盤算8xy2+3x2y-2與-2x2y+5xy2-3的差86.多

9、項式-x2+3xy-ly與多項式M的差是-x2-xy+y,求多項式M2 287.當x=-1,y=-3時，求代數(shù)式3(x2-2xy)-3x2-2y+2(xy+y)2的值.88.化簡再求值5abc-2a2b-3abc-(4ab2-a2b)-2ab2,個中a=-2,b=3,c=-489.已知A=a2-2ab+b2,B=a2+2ab+b2(1) 求A+B;(2)求(B-A);490.小明同窗做一道題，已知兩個多項式A,B,盤算A+B,他誤將A+B看作A-B,求得9x2-2x+7,若B=x2+3x-2，你可否幫忙小明同窗 求得準確答案？91.已知：M=3f+2x-1,N二-x2-2+3x,求M-2N.9

10、2.已知A 4x24xy y2, B x2xy 5y2,求3AB93.已知A=x2+xy+y2,B= 3xyx2,求2A3B._ 2 2 2 2 294.已知a 2+(b+1)=0,求5ab2ab(4ab2a b)的值.2o 295.化簡求值：5abc-2a b+3abc-2(4ab -a b),個中a.b.c知足2|a-1|+|b-2|+c2=0.96.已知a,b,z知足：(1)已知|x-2|+(y+3)2=0,(2)z是最大的負整數(shù)，化簡求值：2 2 22(x y+xyz)-3(x y-xyz)-4x y.97.已知a+b=7,ab=10,求代數(shù)式(5ab+4a+7b)+(6a-3ab)-

11、(4ab-3b)的值.69、已知m+3mn二二5,求5n1-+5m2-(2吊吊- -mn)-7mn-5的值99.設A=2 x -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., 2 2100.有兩個多項式：A=2a4a+1,B=2(a2a)+3,當a取隨意率性有理數(shù)時，請比較A與B的大小.整式的加減專項演習答案：1.3(a+5b)-2(b-a)=5a+13b2.3a-(2b-a)+b=4a-b.223.2(2a +9b)+3(-5a -4b)二二一11a2+6b24.(x3-2y3-3x2y)-(3x3-3y3-7x

12、2y)= -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.(imfnmn)-(4mM-5mn)二二3m2n10.2 2 2(5a +2a-1)-4(3-8a+2a)= -3a +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.

13、(x2-xy+y)-3(x2+xy-2y)= -2x2-4xy+7y15.3x2-7x-(4x-3)-2x2=5x2-3x-3222222316.a b-2(a b-2a c)-(2bc+a c)= -a b+2bc+6a c17.-2y +(3xy2-x2y)-2(xy2-y3)= xy2-x2y18.2(2x-3y)-(3x+2y+1)=2x-8y-119.-(3a2-4ab)+a2-2(2a+2ab)=-2a2-4a2 2 220.5m-7n-8p+5n-9m-p= -4m-2n-9p21.(5x y-7xy)-(xy -2 2 2 2 2 2 23x y)=4xy -4x y22.3(

14、-3a -2a)-a -2(5a-4a +1)-3a=-18a +7a+223.3a2-9a+5-(-7a2+10a-5)=10a2-19a+1024.-3a2b-(2ab2-a2b)-(2a2b+4ab2)= -4a2b-64ab223222225、(5a-3a +1)-(4a -3a)=5a-4a +126.-2(ab-3a)-2b -2(5ab+a)+2ab=7a2+ab-2b22 2 2 227. (8xyx+y)+(y+x8xy)=028. (2x2-+3x)4(xx2+-) = 6x2-x-52 2229.3x27x(4x3)2x2= 5x23x330.5a+(4b-3a)-(-3

15、a+b)= 5a+3b31.(3a6-3ab+2b2)+(a2+2ab-2b2)= 4a2-ab32.2a2b+2ab2-2(a2b-1)+2ab2+2.= -133.2 2 2(2a -1+2a)-3(a-1+a)= -a -a+234.2(x2-xy)-3(2x2-3xy)-2x2-(2x2-xy+y2)=-2x2+5xy-2y235.-2ab+ ab+ab+(3a b)1 = ab-134432 2 2 236.(8xyx+y)+(y+x8xy)=037.2x(3x2y+3)(5y2)=-x-3y-138.(3a+2b)+(4a3b+1)(2ab3)=-a-4b+439.4x7(6x3)

16、+(9x3)=x340.32222xy+2yx+6xy4xy = -2 x y+441.13(2ab+a)十12(2a3ab)=2-7a42. 3x5x+(3x2)=-5x+243. (3a2bab2)(ab2+3a2b)= -2ab245.(x2+5+4x3)+(x3+5x4)= 3x3x2+5x+146.(5a2-2a+3)-(1-2a+a2)+3(-1+3a-a2)=a2+9a-12 2 2 2 2 247.5(3a b-ab)-4(-ab +3a b).=3a b-ab48.4a2 2+2(3ab-2a)-(7ab-1)=1-ab49.11221寸xy+(- jxy)-2xy -(-3

17、y x)二;xy+xy250.5a2-a2-(5a2-2a)-2(a2-3a)=11a2-8a6251.5m-7n-8p+5n-9m+8p=-4m-2n52.(5x y-7xy)-44.2x3y 3x 2 3x y=5x+y(xy2-3x2y)=8x2y-6xy253. 3x2 2 2 2y-2x y-3(2xy-x y)-xy=-2x y+7xy54.3x2-5x-4(1x2-1)+5x2=10 x2-5x-455. 2a3b-1a3b-a2b+2 212233,122一a b-ab二一a b- -a b-ab2222 256.(a +4ab-4b)-3(a2+b2)-7(b2-ab)=-2

18、a2+11ab-14b259.57.a2+2a3+(-2a3)2 258.5ab+(-4a b)2(x +xy-6)61.+(-3a3) +3a2+8ab2-(-3ab)+(7y-3z)-(8y-5z)2=-2x +7xy-24(x3+3x2y-5xy2+9y3)+3xy2+7y3)=062.-3x=-y+2z=-3a3+4a2(-a2b)+4a2b2=8ab+8ab2-a2b60.-32(2x -xy)+4(-2y3+2xy2+x2y-2x3)-(4x2y-x3-2 2=-x y+xy2、-2y+2x2y+3xy2-2xy263.3(a2-2ab)-2(-3ab+b2)=3a2-2b22 2

19、 2 2 264.5abc-2a b-3abc-(4a b-ab =8abc-6a b+ab2 2 2 265.5m -m +(5m-2m)-2(m-3m)66.-2m-3(m-n+1)-2-仁m-3 n+467.1a-(1a-4b-6c)+3(-2c+2b)=-3-68. -5a2 2 2 2 269. x y-3xy +2yx -y x=3x y-4xy2=m -4 m2n-an-(-7an)+(-3an)= -2a2 - -丄a+10b6n71、1a22-1a2b+2ab242512a b71.3a-2c-6a-(c-b)+c+4(a+8b-6)= 10a+9b-2c-6222(xy-2

20、x)-y -(5xy-4x)+2xy= 2x2-y273.化簡.求值122、3(2x2+1y2)2- (2x + y )-( -x十匚y),2233原式=2x2+y22 =682974.化簡.求值1x2(x- y2)+(2372.-312x2個中x+2護）護）, ,個中X一一2，y=2-.3原式=-3x+y2=64975.1x33x2- x3- x2(4x 6) 5x個中x=1 -；323223原式=x3+x2-x+6=6876.化簡，求值(4m+i)-1-(m-4n),m= - n=-1 -53原式=5m-3 n-仁577.化簡.求值2(a2b+2b3ab3)+3a3(2ba23ab2+3a

21、3)4b3,個中a=3,b=2原式=-2ab3+3ab2=12333378.化簡，求值：(2x -xyz)-2(x -y +xyz)+(xyz-2y),個中x=1,y=2,z=-3.原式=-2xyz=679.化簡，求值：5x2-3x-2(2x-3)+7x2,個中x=-2.原式=-2x2+x-6=-162 2 280.若兩個多項式的和是2x +xy+3y ,一個加式是x -xy,求另一個加式.(2x2+xy+3y2)(x2-xy)= x2+2xy+3y281.若2a2-4ab+b2與一個多項式的差是-3a2+2ab-5b2,試求這個多項式.2 2 2 2 2 2(2a -4ab+b) (-3a

22、+2ab-5b)=5a6ab+6b82.求5x2y2x2y與2xy2+4x2y的和.2 2 2 2 2 2(5x y2x y)+(2xy+4x y)=3xy+2x y83.求3x2+x5與4x+7x2的差.2 2 2(3x+x 5) (4x+7x)二二一4x+2x984.盤算5y+3x+5z2與12y+7x-3z2的和(5y+3x+5z2)+(12y+7x-3z2)=17y+10 x+2z285.盤算8xy2+3x2y-2與-2x2y+5xy2-3的差(8xy2+3x2y-2) (-2x2y+5xy2-3)=5x2y+3xy2+ 186.多項式-x2+3xy-ly與多項式M的差是-x2-xy+y,求多項式M2 2M=-1x2+4xy-y2 287.當x=-1,y=-3時，求代數(shù)式3(x2-2xy)-3x2-2y+2(xy+y)2的值.原式=-8xy+y=1588.化簡再求值5abc-2a2b-3abc-(4ab2-a2b)卜2ab2,個中a=-2,b=3,c二二- -1原式=83abc-a2b-2ab2=36489.已知A=a2-2ab+b2,B=a2+2ab+b2(1) 求A+B;(2)求1(B-A);4A+B=2a2+2b2 1(B-A)=ab463、小明同窗做一道題，已知兩個多項式A,