人教版初中八年级数学上册整式的乘法和因式分解练习题22.docx
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人教版初中八年级数学上册整式的乘法和因式分解练习题22
一、计算。
(2xy)3•(-xy)3(a+b)(3a-b)
2x(x-3)(x+4)(x-5y+2)2
9.4×8.61052
(7a)2•b2•2ab(3x3y4-7x2y3z2)÷9x2y2
2(x+2)2+(2x+2)(3x+5)4(y-z)2+(2y-z)(2y-z)
二、因式分解。
25x2-y2(c+q)(6x-3y)+(c+q)(5x-y)
a2-8ax+16x216+16(q+d)+4(q+d)2
a3-81ax4-1
20a-80a412a4b2c-50b2c
14q(1-b)-32p(1-b)2(1-b)+m(1-b)
4-16a28x2-8y2
49y2-196(x-y)2-(7x-y)2
100+100n+25n2(x+y)2+12m(x+y)+36m2
81n2-36n+49a2+6a(m+n)+(m+n)2
x2-9x+14x2-7x-8
5x2+13x+616-64m2
一、计算。
(-2x3y)2•(x2y)2(a-b)(2a+b)
-3x(x+4)(x-3)(3x-y-2)2
30.4×29.6100042
(9a)3•b2•14ab(x3y3+x3y3z2)•6xy
(x-3)2-(2x+5)(3x+4)(y-z)2+(4y+z)(2y-z)
二、因式分解。
x2-100y2(d-p)(x-y)-(d-p)(3x-y)
a2+8ab+16b225+40(p+d)+16(p+d)2
c3-81cx4-16
95a3+30a4b14ab3c+70bc
14p(y+4)-12p(y+4)8(y+4)+m(y+4)
1-49m248x2-27y2
0.09m2-36(6x-5y)2-(7x-y)2
25+20m+4m2(m+n)2-12m(m+n)+36m2
64b2-64b+169a2-6a(x+y)+(x+y)2
x2+11x+18x2+5x-14
15x2+65x+7081-9n2
一、计算。
(3xy2)2•(x2y)2(5a-4b)(3a-b)
3x(x-2)(x+5)(2x-4y+2)2
3.4×2.65972
(5a)3•b4•10a2b(8x4y4-x2y4z4)÷x2y
2(x+1)2-(3x-2)(3x+1)2(y+z)2-(3y-z)(4y-z)
二、因式分解。
x2-64y2(q+c)(x+5y)+(q+c)(5x+6y)
a2-10an+25n225+40(p+c)+16(p+c)2
c3-64cx4-1
55a+90ab14ab2c-30b2c
6p(7+b)+36p(7+b)8(7+b)+m(7+b)
25-16m232x2-2y2
0.81m2-144(6x-y)2-(x+7y)2
25-80m+64m2(a-b)2-10m(a-b)+25m2
25m2-30m+94a2-4a(a-b)+(a-b)2
x2-8x+12x2+4x-12
3x2-13x+1016-81b2
一、计算。
(-2xy)2•(-x2y3)3(5a-b)(6a+b)
-2x(x+4)(x-4)(x-y+4)2
90.2×89.8100032
(5a)2•b3÷20ab2(x2y4+9x3y3z3)•4x2y
2(x+2)2+(4x-3)(4x+5)(y-z)2-(2y-z)(3y+z)
二、因式分解。
x2-y2(b+p)(x+y)-(b+p)(4x-5y)
a2-6ax+9x24-24(d+p)+36(d+p)2
d3-16dx4-1
5a4+90a210a3b2c+40bc
2p(y-6)+12p(y-6)8(y-6)+m(y-6)
16-25b2100x2-36y2
16a2-400(4x+3y)2-(x+y)2
16+80y+100y2(m+n)2+12m(m+n)+36m2
49y2-70y+254a2+4a(m+n)+(m+n)2
x2-11x+18x2-5x-24
4x2+33x+881-9m2
一、计算。
(2x3y3)3•(-x3y2)2(3a-b)(a+b)
-2x(x+5)(x+5)(2x-y+3)2
20.3×19.799972
(2a)3•b2•2a2b(x2y3+4x3y3z2)•8x2y
(x-2)2-(3x+1)(3x+4)(y-z)2+(3y+z)(4y+z)
二、因式分解。
36x2-y2(a+m)(x-y)-(a+m)(x+y)
a2+8ab+16b29-24(b-n)+16(b-n)2
a3-25ax4-16
95a4+40a3b2a4b3c-40b
8q(y-1)+20q(y-1)8(y-1)-m(y-1)
81-64a236x2-100y2
81a2-169(4x+y)2-(7x+y)2
25+20n+4n2(x-y)2+8m(x-y)+16m2
36y2-12y+125a2+10a(a+b)+(a+b)2
x2-7x+12x2-7x-30
4x2-42x+5449-100a2
一、计算。
(3xy)2•(x3y2)2(a-6b)(a+5b)
-3x(x-5)(x-5)(2x+5y-4)2
3.3×2.770032
(9a)2•b2•2a2b(6x2y2+x3y2z3)•6x2y2
2(x-3)2-(3x-2)(4x+1)2(y-z)2-(4y+z)(3y+z)
二、因式分解。
9x2-y2(n+b)(x+5y)-(n+b)(x-y)
a2+20am+100m24-24(m+d)+36(m+d)2
b3-4bx4-1
100a-100a26abc-100bc
20q(3+b)+12q(3+b)4(3+b)-m(3+b)
4-100m28x2-18y2
0.25b2-49(5x+2y)2-(9x-10y)2
36+48b+16b2(m+n)2+8m(m+n)+16m2
100b2-180b+8116a2+8a(x-y)+(x-y)2
x2+14x+48x2-4x-12
12x2-31x+2064-81n2
一、计算。
(-2xy3)2•(-xy3)2(5a-b)(a+4b)
-2x(x+4)(x+1)(x-3y-1)2
70.4×69.619992
(3a)3•b4÷2a2b2(5x4y2-7x3y3z2)•9xy
3(x-2)2+(3x-4)(4x-3)3(y-z)2-(2y+z)(3y+z)
二、因式分解。
x2-16y2(q-a)(4x-3y)+(q-a)(x-6y)
a2+8am+16m29-24(n+b)+16(n+b)2
b3-64bx4-16
15a4+50ab12ab2c-90bc
2q(6+a)-24q(6+a)8(6+a)+m(6+a)
4-25n264x2-16y2
0.81m2-100(8x+y)2-(9x-7y)2
81+90a+25a2(x+y)2+6m(x+y)+9m2
16n2-32n+164a2+4a(x+y)+(x+y)2
x2-13x+36x2+8x-9
4x2-31x+424-16a2
一、计算。
(-2xy2)3•(x3y2)2(3a+4b)(a+4b)
3x(x+2)(x-4)(6x+3y+2)2
7.2×6.810032
(6a)3•b4÷12a2b(x4y2-x3y2z2)•8x2y2
3(x-2)2-(3x+4)(4x+3)3(y-z)2-(4y+z)(2y+z)
二、因式分解。
x2-y2(p+b)(x-6y)+(p+b)(x-y)
a2-4ab+4b216+32(m-b)+16(m-b)2
a3-4a81x4-256
65a-40a8abc+70bc
12q(x+2)-4p(x+2)8(x+2)+m(x+2)
100-16y22x2-8y2
81b2-64(9x-y)2-(2x-y)2
100+140b+49b2(a+b)2+4m(a+b)+4m2
64m2-112m+4936a2+12a(m-n)+(m-n)2
x2+12x+36x2-4x-21
8x2-44x+36100-4x2
一、计算。
(3x2y3)2•(-xy3)2(3a+b)(a+6b)
-2x(x-4)(x+5)(x-y+1)2
60.1×59.95052
(4a)3•b3÷6ab(3x2y4-9x4y4z3)•x2y
(x+1)2-(3x+5)(2x-1)(y+z)2-(3y+z)(2y+z)
二、因式分解。
x2-25y2(m+b)(2x-6y)-(m+b)(x+2y)
a2+14am+49m236-72(d-q)+36(d-q)2
a3-36ax4-81
100a3+30a8abc-40b
18p(8-a)-32p(8-a)2(8-a)+m(8-a)
16-49x264x2-4y2
49n2-121(3x+4y)2-(x-8y)2
16-16m+4m2(a-b)2-6m(a-b)+9m2
36n2-72n+364a2-4a(a+b)+(a+b)2
x2-12x+35x2-3x-28
8x2-32x+1425-16x2
一、计算。
(3xy)3•(-xy)3(4a+4b)(a-5b)
-2x(x+3)(x+5)(6x-6y+2)2
2.2×1.81992
(5a)3•b2÷14a2b(6x4y2-x4y3z4)÷8xy
(x-1)2-(3x+4)(4x+1)(y+z)2+(3y+z)(2y-z)
二、因式分解。
x2-25y2(c-n)(4x+y)+(c-n)(3x+y)
a2-16ab+64b216+24(d-n)+9(d-n)2
b3-64bx4-256
60a3+30a318abc-10bc
6q(y-3)+28q(y-3)6(y-3)-m(y-3)
9-25b28x2-8y2
0.25y2-36(8x+y)2-(6x-10y)2
64-112n+49n2(x+y)2-6m(x+y)+9m2
9y2+42y+499a2+6a(x-y)+(x-y)2
x2-11x+30x2-2x-35
10x2-32x+69-64m2
一、计算。
(-2xy)2•(x2y3)3(2a-b)(4a+b)
2x(x-4)(x+1)(5x-y+3)2
5.3×4.77002
(9a)3•b4•4a2b(5x4y4-4x4y2z2)÷3xy2
3(x+1)2+(3x+2)(4x-3)(y+z)2+(3y+z)(4y+z)
二、因式分解。
x2-9y2(d+p)(x+y)-(d+p)(5x-y)
a2-10ay+25y24+24(p-a)+36(p-a)2
b3-49b81x4-81
35a3-60a3b2a3bc-90b
4p(3-b)-12p(3-b)6(3-b)-m(3-b)
49-64m28x2-50y2
16a2-16(2x+y)2-(x-y)2
1-14m+49m2(a-b)2+6m(a-b)+9m2
9b2-18b+936a2+12a(m-n)+(m-n)2
x2-9x+18x2-8x-9
12x2-46x+4225-49m2
一、计算。
(3xy2)2•(-xy)3(4a+b)(a+5b)
3x(x-2)(x+2)(5x+y-1)2
6.4×5.680032
(2a)2•b2•12ab2(x2y2+6x4y3z3)÷9xy2
3(x-1)2+(3x-3)(2x+1)(y+z)2+(2y+z)(3y-z)
二、因式分解。
x2-y2(d+n)(4x-5y)-(d+n)(6x+y)
a2-16an+64n225+20(p+b)+4(p+b)2
b3-4b81x4-81
90a-100a20a4b3c-40b4c
18q(x-1)-32q(x-1)2(x-1)-m(x-1)
4-49a227x2-27y2
0.16n2-1(x-2y)2-(x-7y)2
36+48a+16a2(x-y)2+10m(x-y)+25m2
81n2+108n+3616a2-8a(x+y)+(x+y)2
x2+4x+4x2-1x-30
5x2-12x+425-4m2
一、计算。
(-3xy)2•(x3y)3(a-3b)(6a-3b)
3x(x-4)(x+2)(x-4y-4)2
4.2×3.899952
(5a)2•b4÷4ab2(6x4y3+x2y4z4)•x2y2
(x+2)2-(2x-1)(4x-2)(y+z)2-(2y+z)(2y+z)
二、因式分解。
x2-36y2(m-a)(x-5y)+(m-a)(x+6y)
a2-6ax+9x216+48(n-b)+36(n-b)2
c3-49cx4-81
15a+50ab10a4b3c-30b
14q(2-b)+16q(2-b)2(2-b)-m(2-b)
81-16m22x2-18y2
25x2-289(2x+y)2-(5x-8y)2
25-80x+64x2(a+b)2+6m(a+b)+9m2
64a2+64a+1625a2+10a(a+b)+(a+b)2
x2+11x+24x2-2x-24
4x2+29x+3081-36y2
一、计算。
(-2xy2)3•(xy)2(4a+4b)(a+4b)
2x(x-5)(x-2)(5x+6y-1)2
1.3×0.7100042
(8a)2•b2÷2a2b2(x2y2+9x2y2z3)•7x2y
2(x+1)2+(3x+2)(4x-3)3(y-z)2+(3y+z)(4y+z)
二、因式分解。
9x2-y2(c+m)(x-3y)+(c+m)(x+y)
a2+14am+49m29+42(c+q)+49(c+q)2
a3-81ax4-16
45a-60a414a3b3c+50bc
20p(8+a)-28q(8+a)4(8+a)+m(8+a)
9-81x28x2-32y2
0.16a2-81(9x+y)2-(x-8y)2
4+24m+36m2(m-n)2-6m(m-n)+9m2
25y2-20y+416a2-8a(x+y)+(x+y)2
x2+10x+9x2+3x-18
3x2-7x+281-36x2
一、计算。
(2x3y2)2•(x3y)2(a+3b)(5a-5b)
2x(x+1)(x+3)(x-y-2)2
2.1×1.94012
(8a)3•b3•10ab(x4y4+4x3y3z2)÷x2y
(x-1)2+(4x-3)(2x+2)3(y-z)2-(4y-z)(2y-z)
二、因式分解。
36x2-16y2(d-p)(6x-3y)+(d-p)(2x-2y)
a2+18ab+81b24-16(q-d)+16(q-d)2
c3-49c81x4-1
10a4+90a6a4b3c-40b4c
16p(x+6)+32p(x+6)2(x+6)+m(x+6)
16-9m216x2-36y2
64a2-16(3x+y)2-(x-7y)2
81+108x+36x2(a+b)2-4m(a+b)+4m2
49n2+56n+1616a2-8a(a-b)+(a-b)2
x2-10x+21x2-4x-12
12x2-34x+249-81n2
一、计算。
(-3xy2)2•(x3y)2(a-4b)(3a-b)
3x(x-1)(x-5)(x+y-1)2
90.3×89.779962
(7a)2•b2•6ab(8x2y4+x4y4z2)•xy
(x+2)2+(4x+1)(2x+3)(y-z)2-(4y+z)(4y+z)
二、因式分解。
36x2-100y2(d-p)(2x+y)+(d-p)(4x-y)
a2+18am+81m24+24(b-m)+36(b-m)2
b3-16b81x4-16
65a+20ab12ab2c+40bc
16q(6+b)-4p(6+b)2(6+b)-m(6+b)
81-4m22x2-8y2
0.25b2-16(x-y)2-(x+10y)2
1-4b+4b2(x-y)2-8m(x-y)+16m2
36m2-36m+925a2-10a(x+y)+(x+y)2
x2+15x+54x2+5x-36
9x2+21x+109-81x2
一、计算。
(2xy2)3•(-x3y3)2(6a-6b)(a-2b)
-3x(x-1)(x-2)(x-y+3)2
7.3×6.75952
(6a)2•b3÷12a2b2(x2y4+4x2y4z2)•x2y2
3(x+4)2-(2x+2)(3x+2)3(y-z)2+(4y+z)(2y-z)
二、因式分解。
64x2-25y2(b-q)(6x+5y)-(b-q)(6x-6y)
a2+10ax+25x29+30(n-c)+25(n-c)2
d3-25d16x4-81
75a3-70a20ab3c+80bc