1、 整式混合运算专项练习99题(有答案)(1)(2x2y3)(xy)3(2)5x2(x+1)(x1)(3)x(yx)+(x+y)(xy);(4)(a+2b)2+4ab3(ab)(5) 3(a2)3(a3)2(a)2(a5)2(6)(5mn2m+3n)+(7m7mn)(7)(x+2)2(x+1)(x1)(8)(x+2)2(2x)2;(9)(2a+3b)24a(a+3b+1)(10)(2xy2)23x2y(x3y4)(11)(x+1)2+2(1x)(12) (a3)2(a2)3;(13)(a)(b)2a2b3c2;(14);(15) (x3)2x2x+x3(x)2(x2)(16)(3x2)3(4y3
2、)2(6x2y)3;(17)(xy)2(2yx)(x+2y)(18)(19)(a+b)(b+a)+(a+b)22a(a+b)(20);(21)x(x+1)(2x+1)(2x3);(22)(2a+3b)2(2a3b)2(23)2a2a8a6;(24)(2x)(2+x)+(x+4)(x1)(25)(2ab3)2+ab4(3ab2);(26)(2a+3)(2a3)+(a3)2(27)12ab2(abc)4(3a2b3c)2(abc)3(28)(2x2)3(x)2(29)(2m1)(3m2)(30)2x(x2+3x)3x2(x+1)(31)3a(ab2)(3ab)2(32)3x(2x2x+4)(33)
3、2x3(2xy)(xy) 3(34)3(x22x+3)3x(x+1)=0(35)(3x+2)(3x+1)(3x+1)2(36)2a(a+b)(a+b)2(37)x(2x7)+(32x)2(38)(3x2y)2(3x3y2) (39)(a+2)2(a+1)(a1)(40)(a2)4a2(41)(42)a(ab24b)+4a3ba2;(43)(x8y)(xy)(44)(3x2y)3(5y);(45)(x+y)2y(2x+y)4x2x(46)(2x+a)2(2xa)2(47)(2x2)36x3(x3+2x2)(2x2)(48)(x2)(x+2)(x+1)(x3)(49)(2a)3b412a3b2 (
4、50)(3x1)(2x+3)6x2(51)(6x2)2+(3x2)x27x5(9x2)(52)(2y2)3+yy5(53)(x+2)2(x+1)(x1)(54)(a+b)(ab)+(a+b)2a(2a+b)(55)(a)2(a2)2a3(56)(15x2y10xy2)5xy(57)(2x2)36x3(x3+2x2+x)(x)4(58)(x+1)2+2(1x)x2(59)(12a36a2+3a)3a(60)5x2(x+1)(x1)(61)(b2a)24a(ab)(62)(3ab2)3(4ab2)(63)(3a2)(a6)(64)(3a3b9a2b221a2b3)(3a2b)(65)(x+3)(x
5、2)(x2)2(66)(3x+4y)(3x4y)(67)(x+3y)(2xy)y(5x+3y)(68)3(a5)2(a3)2(2a3)2(a2)5; (69)4xy+(x2y)2+(x+3y)(3yx)(70)3x2y2(2xy)2(71)(a2b)2+(a+2b)(a2b)(72)(73)(74)(2xy2)3+(3xy4)(2x2y2)(75)(2x)3(3xy2) (76)(a+3b)(a2b)(2ab)2(77)(2x2y)3+(3x2)2(x2)y3(78)(m2n)3(m4n)(mn)2(79)(2a1)2(2a+1)2(80)(x4y+6x3y2x2y3)(3x2y)(81)(2
6、x3y+1)(2x+3y1)(82)(2x)(4x22x+1)(83)(6a34a2+2a)2a(84)(2xy)(2x+y)(x3y)2(85)(4x22x3+6x)(2x)(2x1)2(86)(87)x(xy2+2xy)y(x2y6x2y2)2x2y(88)x6(x)2(x)227x2(89)(2x+y)(2x3y)+4y(2x+y)(90)(m+2)(m2)+(m1)(m+5)(91)(x+y)2y(2x+y)8x2x(92)(2xy26xy)2x+y(y+2)(93)(27a315a2+6a)(3a)(94)x(x+2y)(x+1)2+2x(95)(x2y3)2(x3y4)(4xy)(
7、96)a3a3+(2a3)2(a2)3(97)(2x+1)(x+3)6(x2+x1);(98)x(x2y2xy)y(x2x3y)+3x2y(99)(2x+y)2y(y+2x)4x2x整式混合运算99题参照答案:(1)(2x2y3)(xy)3=4x4y6x3y3=4x7y9;(2)5x2(x+1)(x1),=5x2(x21),=5x45x2(3)x(yx)+(x+y)(xy),=xyx2+x2y2,=xyy2;(4)(a+2b)2+4ab3(ab),=a2+4ab+4b24b2,=a2+4ab(5)3(a2)3(a3)2(a)2(a5)2,=3a6a6a2a10,=3a12a12,=2a12(6
8、)(5mn2m+3n)+(7m7mn),=5mn2m+3n7m7mn,=(57)mn+(2+7)m+3n,=3n9m2mn;(7)(x+2)2(x+1)(x1),=x2+4x+4x2+xx+1,=4x+5(8)(x+2)2(2x)2,=x2+4x+44x2,=3x2+4x+4;(9)(2a+3b)24a(a+3b+1),=4a2+12ab+9b24a212ab4a,=9b24a(10)(2xy2)23x2y(x3y4),=4x2y43x2y(x3y4),=12x4y5(x3y4),=12xy(11)(x+1)2+2(1x),=(x+1)2+2(1x),=x2+2x+1+22x,=x2+3(12
9、)(a3)2(a2)3,=a6(a6),=a12;(13)(a)(b)2a2b3c2,=(a3b5c)2,=a6b10c2;(14),=(9)3,=23,=8;(15)(x3)2x2x+x3(x)2(x2),=x6x2x+x3x2(x2),=x3x3,=0(16)原式=27x6(16y6)(216x6y3)=2y3;(17)原式=(xy)2(2yx)(x+2y),=x2+2xy+y2(4y2x2),=x2+2xy+y24y2+x2,=2xy3y2(18)=3x2y(xy)+xy2(xy)+xy(xy),=6x+2y1;(19)(a+b)(b+a)+(a+b)22a(a+b),=(a+b)(ab
10、+a+b2a),=0(20)原式=2x(3x6y6)y29x7y8,=(6x7y6y2)9x7y8,=2x7y89x7y8,=;(21)原式=x2+x(4x26x+2x3),=x2+x4x2+6x2x+3,=3x2+5x+3;(22)原式=(2a+3b+2a3b)(2a+3b2a+3b),=4a9b,=36ab(23)2a2a8a6,=2a2a2,=a2;(24)(2x)(2+x)+(x+4)(x1),=4x2+x2+3x4,=3x(25)(2ab3)2+ab4(3ab2),=4a2b63a2b6,=a2b6;(26)(2a+3)(2a3)+(a3)2,=4a29+a26a+9,=5a26a(
11、27)原式=12a5b6c4(3a2b3c)2a3b3c3=4a3b3c32a3b3c3=2(28)原式=8x6x2=8x4;(29)原式=6m2+4m3m+2=6m2+m+2(30)原式=2x3+6x23x33x2=5x3+3x2(31)3a(ab2)(3ab)212a2b2,=3a2b29a2b212a2b2,=24a2b2(32)原式=6x3+3x212x; (33)原式=2x3(2xy)(x3y3) =x7y4(34)3(x22x+3)3x(x+1)=0,3x26x+93x23x=0,9x=9,x=1(35)原式=9x2+3x+6x+29x26x1=3x1(36)2a(a+b)(a+b
12、)2=(a+b)(2aab)=(a+b)(ab)(37)原式=2x27x+912x+4x2=6x219x+9(38)(3x2y)2(3x3y2),=9x4y2(3x3y2),=3x;(39)(a+2)2(a+1)(a1),=a2+4a+4(a21),=a2+4a+4a2+1,=4a+5(40)原式=a8a2=a6;(41)原式=a2b6ab2+6ab2=a2b(42)原式=a2b24ab+4ab=a2b2;(43)原式=x2xy8xy+8y2=x29xy+8y2(44)原式=27x6y3(5y)=135x6y4;(45)原式=(x2+y2+2xy2xyy24x)2x=(x24x)2x=x2(4
13、6)原式=(2x+a)+(2xa)(2x+a)(2xa)=(2x+a+2xa)(2x+a2x+a)=4x2a=8ax;(47)原式=(8x66x612x5)(2x2)=2(x66x5)(2x2)=x4+6x3=6x3x4;(48)原式=x24(x22x3)=x24x2+2x+3=2x1(49)原式=8a3b412a3b2,=b2(50)原式=(6x2+9x2x3)6x2=6x2+9x2x36x2=7x3(51)(6x2)2+(3x2)x27x5(9x2) =36x43x3+3x3=36x4(52)(2y2)3+yy5=8y6+y6=7y6;(53)(x+2)2(x+1)(x1)=x2+4x+4
14、x2+1=4x+5(54)原式=a2b2+a2+2ab+b22a2ab=ab(55)(a)2(a2)2a3=a2a4a3=a6a3=a3;(56)(15x2y10xy2)5xy=3x2y(57)原式=8x66x612x56x4x4=2x612x56x4x4=2x212x6(58)原式=(x+1)2+2(1x)x2=x2+2x+1+22xx2=3(59)(12a36a2+3a)3a=4a22a+1;(60)5x2(x+1)(x1)=5x2(x21)=5x45x2(61)原式=b24ab+4a24a2+4ab=b2(62)原式=(27a3b6)(4ab2)=108a4b8(63)原式=3a218a
15、2a+12=3a220a+12(64)化成单项式除以单项式a+3b+7b2(65)原式=x22x+3x6(x24x+4)=x2+x6x2+4x4=5x10;(66)原式=9x216y2;(67)原式=2x2xy+6xy3y25xy3y2=2x26y2(68)原式=3a10a64a6a10=3a164a16=a16;(69)原式=4xy+x24xy+4y4+9y2x2=4y4+9y2(70)原式=3x2y24x2y2=12x4y4;(71)原式=a24ab+4b2+a24b2=2a24ab(72)原式=a24b22ab+4b2=a22ab(73)原式=10x32x3=8x3(74)原式=8x3y
16、6+6x3y6=2x3y6(75)原式=8x3(3xy2)=24x4y2;(76)原式=a22ab+3ab6b2(4a24ab+b2) =a22ab+3ab6b24a2+4abb2=3a2+5ab7b2(77)原式=8x6y3+9x4(x2)y3=8x6y39x6y3=17x6y3(78)原式=m10n4m2n2=m8n2;(79)原式=(2a1)(2a+1)2=16a48a2+1;(80)原式=x2+2xyy2;(81)原式=2x(3y1)2x+(3y1)=4x29y2+6y1(82)(2x)(4x22x+1),=8x3+4x22x;(83)(6a34a2+2a)2a,=3a22a+1(84
17、)(2xy)(2x+y)(x3y)2,=4x2y2x2+6xy9y2,=3x2+6xy10y2(85)原式=2x+x23(2x1)2=2x+x23(4x24x+1)=2x+x234x2+4x1=x24x22x+4x31=3x2+2x4(86)原式=(9m2+6mn+n26mnn2)2m=9m22m=m(87)原式=(x2y2+2x2yx2y2+6x2y3)2x2y=(2x2y+6x2y3)2x2y=1+3y2(88)原式=x6x2x227x2=x43x4=2x4(89)原式=(2x+y)(2x3y+4y)=(2x+y)(2x+y)=(2x+y)2(90)原式=m24+m2+5mm5 =2m2+
18、4m9;(91)原式=x2+2xy+y2(2xy+y2)8x2x=(x2+2xy+y22xyy28x)2x=(x28x)2x=x4(92)原式=2xy22x6xy2x+y2+2y=y23y+y2+2y=2y2y(93)原式=9a25a+2;(94)原式=x2+2xyx22x1+2x=2xy1;(95)原式=x4y6(x3y4)(4xy)=x4y6(4xy)=(4xy)=;(96)原式=a3+3+4a6+a6=a6+4a6+a6=6a6(97)(2x+1)(x+3)6(x2+x1)=2x2+6x+x+36x26x+6=4x2+x+9;(98)x(x2y2xy)y(x2x3y)+3x2y=x3y2x2yx2y+x3y2+3x2y=2x3y22x2y+3x2y=2x3y2+x2y(99)原式=(2x+y)(2x+yy)4x2x=(2x+y)2x4x2x=2x(2x+y2)2x=2x+y2您好,欢迎您阅读我文章,本WORD文档可编辑修改,也可以直接打印。阅读过后,但愿您提出保贵意见或建议。阅读和学习是一种非常好习惯,坚持下去,让咱们共同进步。
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