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2x(x-y)^4-x^2(x-y)^2+xy(y-x)^2因式分解 请看仔细

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2x(x-y)^4-x^2(x-y)^2+xy(y-x)^2因式分解 请看仔细
2x(x-y)^4-x^2(x-y)^2+xy(y-x)^2因式分解 请看仔细
2x(x-y)^4-x^2(x-y)^2+xy(y-x)^2
=2x(x-y)^4-x^2(x-y)^2+xy(x-y)^2
=x(x-y)^2[2(x-y)^2-x+y]
=x(x-y)^2[2(x-y)^2-(x-y)]
=x(x-y)^2(x-y)(2x-2y-1)
=x(2x-2y-1)(x-y)^3