(a-b)^3-(a-b) 分解因式a-b)^3-(a-b)5a^2b(x-y)^3-30ab^2(y-x)^2(x^2+y^2)^2-4x^2y^2x^2-2xy+y^2-9

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(a-b)^3-(a-b) 分解因式a-b)^3-(a-b)5a^2b(x-y)^3-30ab^2(y-x)^2(x^2+y^2)^2-4x^2y^2x^2-2xy+y^2-9

(a-b)^3-(a-b) 分解因式a-b)^3-(a-b)5a^2b(x-y)^3-30ab^2(y-x)^2(x^2+y^2)^2-4x^2y^2x^2-2xy+y^2-9
(a-b)^3-(a-b) 分解因式
a-b)^3-(a-b)
5a^2b(x-y)^3-30ab^2(y-x)^2
(x^2+y^2)^2-4x^2y^2
x^2-2xy+y^2-9

(a-b)^3-(a-b) 分解因式a-b)^3-(a-b)5a^2b(x-y)^3-30ab^2(y-x)^2(x^2+y^2)^2-4x^2y^2x^2-2xy+y^2-9
(a-b)^3-(a-b)
=(a-b)[(a-b)^2-1]
=(a-b)(a-b+1)(a-b-1)
5a^2b(x-y)^3-30ab^2(y-x)^2
=5ab(x-y)^2[a(x-y)-6b]
=5ab(x-y)^2(ax-ay-6b)
(x^2+y^2)^2-4x^2y^2
=(x^2+y^2+2xy)(x^2+y^2-2xy)
=(x+y)^2(x-y)^2
x^2-2xy+y^2-9
=(x-y)^2-3^2
=(x-y+3)(x-y-3)

你顺序弄错了 分解因式是转化为积的形式原式=(a-b)【(a-b)^2 -1】=(a-b)(a-b+1)(a-b-1)