(x-y)^4+x(x-y)^3-y(y-x)^3因式分解(x-y)^4+x(x-y)^3-y(y-x)^3

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(x-y)^4+x(x-y)^3-y(y-x)^3因式分解(x-y)^4+x(x-y)^3-y(y-x)^3(x-y)^4+x(x-y)^3-y(y-x)^3因式分解(x-y)^4+x(x-y)^3-

(x-y)^4+x(x-y)^3-y(y-x)^3因式分解(x-y)^4+x(x-y)^3-y(y-x)^3
(x-y)^4+x(x-y)^3-y(y-x)^3因式分解
(x-y)^4+x(x-y)^3-y(y-x)^3

(x-y)^4+x(x-y)^3-y(y-x)^3因式分解(x-y)^4+x(x-y)^3-y(y-x)^3
原式=(x-y)^4+x(x-y)^3+y(x-y)^3
=(x-y)^4+(x+y)(x-y)^3
=(x-y)^3((x-y)+(x+y))
=2x(x-y)^3