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分解因式:(1)4a2b-6ab2+2ab(2)6(a-b)2-12(a-b)(3)x(x+y)2-x(x+y)(x-y)(4)a(m-2)+b(2-m)(5)2(y-x)2+3(x-y)(6)mn(m-n)-m(n-m)2(7)-16x4+81y4(8)x(x-y)-y(y-x)(9)9a2

题目详情
分解因式:
(1)4a2b-6ab2+2ab
(2)6(a-b)2-12(a-b)
(3)x(x+y)2-x(x+y)(x-y)
(4)a(m-2)+b(2-m)
(5)2(y-x)2+3(x-y)
(6)mn(m-n)-m(n-m)2
(7)-16x4+81y4     
(8)x(x-y)-y(y-x)
(9)9a2+6ab+b2
(10)(m-n)2+8(m-n)+16
(11)36x2-36x+9
(12)(m+n)2-(m-n)2
(13)x2y-2xy2+y3
(14)5m(x-y)2+10n(y-x)3

22
2
2

2
2
44

22
2
2
22
223
23
▼优质解答
答案和解析
(1)原式=2ab(2a-3b+1);(2)原式=6(a-b)(a-b-2);(3)原式=x(x+y)(x+y-x+y)=x(x+y)•2y=2xy(x+y);(4)原式=a(m-2)-b(m-2)=(m-2)(a-b);(5)原式=2(x-y)2+3(x-y)=(x-y)(2x-2y+3...