因式分解(a²-ab)+c(a-b) (x-y)四次方+x(x-y)³+y(y-x)³

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因式分解(a²-ab)+c(a-b) (x-y)四次方+x(x-y)³+y(y-x)³

因式分解(a²-ab)+c(a-b) (x-y)四次方+x(x-y)³+y(y-x)³
因式分解(a²-ab)+c(a-b) (x-y)四次方+x(x-y)³+y(y-x)³

因式分解(a²-ab)+c(a-b) (x-y)四次方+x(x-y)³+y(y-x)³
(a²-ab)+c(a-b)
=a(a-b)+c(a-b)
=(a+c)(a-b)
(x-y)四次方+x(x-y)³+y(y-x)³
=(x-y)四次方+x(x-y)³-y(x-y)³
=(x-y)³[(x-y)+x-y]
=(x-y)³[x-y+x-y]
=2(x-y)³(x-y)
=2(x-y)四次方

(a^2-ab)+c(a-b)
=a(a-b)+c(a-b)
=(a-b)(a+c)
(x-y)^4+x(x-y)^3+y(x-y)^3
=(x-y)^3+(x-y+x+y)
=2x(x-y)^3
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