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](/uploads/image/z/5622679-55-9.jpg?t=2x%28x-y%29%5E4-x%5E2%28x-y%29%5E2%2Bxy%28y-x%29%5E2%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3+%E8%AF%B7%E7%9C%8B%E4%BB%94%E7%BB%86)
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