初中數(shù)學(xué)整式的混合運(yùn)算專項(xiàng)練習(xí)題

整式的混合運(yùn)算專項(xiàng)練習(xí)99題（有答案）

(1)(-2xV)e(xy)(12)(-a3)2*(-a2)3；

(2)5x2(x+1)(x-1)(13)[(-a)(-b)2*a2b3c]2；

)333

(3)x(y-x)+(x+y)(x-y)；(14)(-9X(-2)X(—)

(4)(a+2b)2+4ab3-r(-ab).(15)(x3)24-X24-X+X34-(-x)2<-x2).

(5)3(a2)3*(a3)2-(-a)2(a5)2(16)(-3x2)3<-4y3)24-(6xy)3；

(6)(5mn-2m+3n)+(-7m-7mn)(17)(-x-y)2-(2y-x)(x+2y)

22

(7)(x+2)2-(x+1)(x-1)(18)(3xy-xy+-1xy)+(-^xy)

(8)(x+2)2-(2x)2；(19)(a+b)(-b+a)+(a+b)2-2a(a+b)

22278

(9)(2a+3b)2-4a(a+3b+l).(20)[2x(3xy)--^y]9xy

o

(10)(-2xy2)2*3x2y^(-x3y4)(21)x(x+1)-(2x+l)(2x-3)；

(11)(x+1)2+2(1-x)(22)(2a+3b)2-(2a-3b)2.

1

28.6

(23)zoa-a-a；(35)(3x+2)(3x+l)-(3x+l)2.

(24)(2-x)(2+x)+(x+4)(x-1)(36)2a(a+b)-(a+b)

(25)(-2abb2+ab4>(-3ab2)；(37)x(2x-7)+(3-2x)2.

(26)(2a+3)(2a-3)+(a-3)2.(38)(-3x2y)2(-3x3y2)

(27)12ab2(abc)44-(-3a2b%)4-[2(abc)3].(39)(a+2)2-(a+1)(a-1)

(28)(-2x2)3+(_x)2(40)(Za2x)4-.a2

-2

(29)(-2m-1)(3m-2)2ab(-^a3b)+6ab-

(41)

(30)2x*(-X2+3X)-3X2*(X+1).(42)a(ab2-4b)+4a3b4-a2；

(31)3a*(-ab2)-(-3ab)2.(43)(x-8y)(x-y).

(32)-3x*(2x2-x+4)(44)(3x2y)3*(-5y)；

2X3*(-2xy)(-Axy)3.

(33)(45)[(x+y)2-y(2x+y)-4x]-F2x

2

(34)3(x2-2x+3)-3x(x+1)=0.(46)(2x+a)2-(2x-a)2

2

(47)[(2x2)3-6X，(X3+2X2)]+(-2x2)(59)(12a3-6a2+3a)+3a

(48)(x-2)(x+2)-(x+1)(x-3)(60)5x2(x+1)(x-1)

(49)(2a)3?b4-M2a3b2(61)(b-2a)2-4a(a-b)

(50)(3x-1)(2x+3)-6x2.(62)(-3ab2)3(-4ab2)

22

(51)(-6x)+(-3x，Ax-27x5+(_9x2)(63)(3a-2)(a-6)

(52)(-2y2)3+y?y5(64)(3a3b-9a2b2-2la%3)+(-3a2b)

(53)(x+2)2-(x+1)(x-1)(65)(x+3)(x-2)-(x-2)2

(54)(a+b)(a-b)+(a+b)"-a(2a+b)(66)(3x+4y)(3x-4y)

(55)(-a)2<a2)2-?a3(67)(x+3y)(2x-y)-y(5x+3y)

(56)(15x2y-10xy2)4-5xy.(68)3(a5)2*(-a3)2-(2a3)2-(a2)5

(57)[(2x2)°-6x3(X3+2X2+X)]4-(-x)4.(69)4xy+(x-2y)2+(x+3y)(3y-x)

(58)(x+1)2+2(1-x)-x2(70)-3x2y2>(-2xy)2.

3

(71)(a-2b)2+(a+2b)(a-2b)(83)(6a3-4a2+2a)+2a

(72)(a+2b)(a-2b)-4b(_b)?(84)(2x-y)(2x+y)-(x-3y)2

A25.53=z-o23\232

(73)4xx+6xy?IJxyJ,(85)(4x-2X+6X)4-(-2x)-(2x-1).

234(86)[2

(74)(-2xy)+(-3xy)(-2xV)(3irri-n)-6n(irH-4-n)]+2m.

6

(75)(2x)3X(-3xy2)(87)[x(xy2+2xy)-y(x2y-6x2y2)]-r2x2y?

(88)x6-r(-x)2-(Ax)2*27X2.

(76)(a+3b)(a-2b)-(2a-b)2.

3

(77)(-2x2y)3+(3x2)2*(-x2)*y3.(89)(2x+y)(2x-3y)+4y(2x+y)

(78)(m2n)°?(-m4n)4-(-mn)2(90)(m+2)(m-2)+(m-1)(m+5)

(79)(2a-1)2(2a+l)2(91)[(x+y)2-y(2x+y)-8x]-F2x.

(80)(x4y+6x3y2-x2y3)4-(3x2y)(92)(2xy2-6xy)4-2x+y(y+2)

(81)(2x-3y+l)(2x+3y-1)(93)(27a3-15a2+6a)4-(3a)

(82)(-2x)(4X2-2X+1)(94)x(x+2y)-(x+1)2+2x.

4

(95)—(x2y3)24-(—x3y4)*(-4xy)(98)[x(x2y2-xy)-y(x2-x3y)]+3x2y.

44

(96)a3*a3+(-2a3)2-(-a2)3.(99)[(2x+y)2-y(y+2x)-4x]4-2x.

(97)(2x+l)(x+3)-6(x2+x-1)；

5

參考答案：

233

(1)(-2xy)*(xy),=(9X2x1)3,

/4633

=-4xy*xy,33

793

=-4Axy；=2,

(2)5x2(x+1)(x-1),=8；

=5x2(x2-1),(15)(x3)24-x24-x+x34-(-x)2,(-x2),

6.2..3.2./2、

=5x4-5x2.=X—X—x+x—X?(-X),

(3)x(y-x)+(x+y)(x-y),=X3-3X,

222

=xy-x+x--y,=0.

=xy-y2；(16)原式二-27x6?(16y6)4-(216x6y3)=-2y3；

(4)(a+2b)2+4ab34-(-ab),(17)原式二(-x-y)2-(2y-x)(x+2y),

=a2+4ab+4b2-4b2,=x2+2xy+y2-(4y2-x2),

=a2+4ab=x2+2xy+y2-4y2+x2,

(5)3(a2)3<a3)2-(-a)2(a5)2,=2xy-3y2

66210

=3oa*a-a*a,2-2

(18)(3xyxy+-1xy)+(--^xy)

_1212

—o3a-a,

=2a12.=[3x2y4-(-Axy)]+[-xy2-r(--Ixy)]+[Axy4-(

(6)(5mn-2m+3n)+(-7m-7mn),222

=5mn-2m+3n-7m-7mn,

—xy)],

=(5-7)mn+(-2+7)m+3n,2

=3n-9m-2mn；=-6x+2y-1；

(7)(x+2)2-(x+1)(x-1),(19)(a+b)(-b+a)+(a+b)2-2a(a+b),

99

=x+4x+4-x+x-x+1,=(a+b)(a-b+a+b-2a),

=4x+5.=0

(8)(x+2)2-(2x)2,

(20)[2x(3x6y6)*—y2]-r-9x7y8,

99原式二

=x+4x+4-4x,3

9

=-3x+4x+4；,「7612x?78

=(bxy>—y)—9xy,

(9)(2a+3b)2-4a(a+3b+l),3

=4a2+12ab+9b2-4a2-12ab-4a,=2x7y84-9x7y8,

2

=9b-4a.=2.

一，

22234

(10)(-2xy)*3xy-F(-xy),9

=4xy*3xy—(-xy),(21)原式=x?+x-(4x2-6x+2x-3),

99

=12xy—(-xyJ,=x+x-4x+6x-2x+3,

=-12xy=-3X2+5X+3；

(11)(x+1)2+2(1-x),(22)原式二(2a+3b+2a-3b)(2a+3b-2a+3b),

=(x+1)2+2(1-x),=4a*9b,

-X2+2X+1+2-2x,=36ab

=/+3.(23)2a2-a84-a6,

(12)(-a3)2*(-a2)3,=2Ca2-a2,

=a6*(-a6),=a2；

12

二一a;(24)(2-x)(2+x)+(x+4)(x-1),

(13)[(-a)(-b)2*a2b3c]2,=4-X2+X2+3X-4,

z5、2

=(-abc),=3x.

3242

二a6,b10c2；(25)(-2ab)+ab<-3ab),

.2,6c6

(14)(-9)3X(-2)3x(1)3=4ab-3ab,

6

(26)(2a+3)(2a-3)+(a-3)2,=8ax；

99

=4a-9+a-6a+9,(47)原式=(8X6-6X6-12X5)4-(-2x2)

=5a2-6a=2(x6-6x5)4-(-2x2)

234,3

(27)原式二12a5b6c4+(-3abc)+2a3b3c'=-x+rox

「34

=-4a3b3c34-2a3b3c=-2=bx-x；

(28)原式=-gx'+xJ-8x4(48)原式=x?-4-(x2-2x-3)

99_

(29)原式二-6m2+4m-3m+2=-6m2+m+2=x-4-x+2x+3

(30)原式二-2X3+6X2-3x3-3x2=2x-1

=-5X3+3X2.(49)原式=8a**b』2a3b1

222

(31)3a?(-ab)-(-3ab)-12a%,烏.

=-3a2b2-9a2b2-12a%2,3

=-24a2b之(50)原式=(6X2+9X-2x-3)-6x2

(32)-6X3+3X2-12x；=6X2+9X-2x-3-6x2

(33)原式=2x%(-2xy)(--lx3y3)=7x-3

8(51)(-6x2)2+(-3X2)?X-27X54-(-9x2)

334

74=36x，-3X+3X=36X

=—1xy

2(52)(-2y2)3+y?y5

6,6

(34)3(x2-2x+3)-3x(x+1)=0,=-8oy+y

6

.\3x2-6x+9-3x2-3x=0,=_7ny；

-9x=-9,(53)(x+2)2-(x+1)(x-1)

X=1=X2+4X+4-x2+l

(35)原式=9x.3x+6x+2-9x2-6x-1=4x+5.

=3x-1.(54)原式-b2+a2+2ab+b2-2a2-ab=ab.

(36)2a(a+b)-(a+b)2.(55)(-a)2*(a2)24-a3

=(a+b)(2a-a-b)=a2ea4-.a3

6.3

=(a+b)(a-b)—￡L~a

(37).原式=2x?-7x+9-12x+4x2二a3；

9

=6x-19x+9.(56)(15x2y-10xy2)-r5xy=3x-2y

(38)(-3x2y)24-(-3xV),(57)原式二[8x6-6x6-12x5-6x4]-rx4

=9xV+(-3x3y2),=[2x6-12X5-6X4]^X4

=-3x；=2x2-12x-6

(39)(a+2)2-(a+1)(a-1),(58)原式二(x+1)2+2(1-x)-X2=X2+2X+1+2-2x-

=a2+4a+4-(a2-1),x=3.

22

-a+4a+4-a+1,(59)(12a3-6a2+3a)4-3a=4a2-2a+l；

=4a+5(60)5x2(x+1)(x-1)=5x2(x2-1)

(40)原式=5x4-5x2.

(41)原式二a2b-6ab?+6ab2(61)原式二b?-4ab+4a2-4a?+4ab=b?

二ab.(62)原式二(-27a3b6)(-4ab2)

(42)原式二a2b2-4ab+4ab=/b4=108a4b&

(43)原式二x?-xy-8xy+8y2=x2-9xy+8y2(63)原式二31-18a-2a+12

(44)原式二ZTx'yk-5y)=-135x6y4；=3a2-20a+12

(45)原式二(x2+y2+2xy-2xy-y2-4x)4-2x(64)化成單項(xiàng)式除以單項(xiàng)式

2

=(x-4x)-F2x-a+3b+7b2

222

二3x-2(65)原式二x?-2x+3x-6-(x-4x+4)=x+x-6-x+4x

2一-4=5x-10；

(46)原式=[(2x+a)+(2x-a)][(2x+a)-(2x(66)原式=9x2-16y；

-a)](67)原式=2x?-xy+6xy-3y2-5xy-3y2=2x2-6y2.

16

=(2x+a+2x-a)(2x+a-2x+a)(68)原式=3a%6-仆人/-4/--a；

=4x,2a(69)原式=4xy+x?-4xy+4y4+9y2-x2=4y4+9y2.

7

(70)原式二-3xV*4x2y2=-12x5(92).原式=2xy?+2x-6xy4-2x+y2+2y=y2-

(71)原式二a2-4ab+4b2+a2-4b2=2a2-4ab3y+y?+2y=2y2-y

(72)原式二a?-4b2-2ab+4b之(93)原式=9a?-5a+2；

=a2-2ab(94)原式=x?+2xy-x2-2x-l+2x

(73)原式nOx，-2X：8X3=2xy-1；

3636

(74)原式二-8xy+6xy(95)原式Jx4y6+(—x3y4)*(-4xy)

36

=-2Qxy.44

(75)原式=8x，X(-3xy2)=-24xV;

=-lx4y6X----——X(-4xy)

(76)原式二a?-2ab+3ab-6b2-(4a2-4ab+b2)

43x3y4

=a2-2ab+3ab-6b2-4a2+4ab-b2

=-3a2+5ab-7b2

2

634>23

(77)原式二-8xy+9x(-x)*y二^—X(-4xy)

3

=-8xy-9xy

=-17x6y3