x^3(x-2y)+y^3(2x-y)因式分解,【急!】

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x^3(x-2y)+y^3(2x-y)因式分解,【急!】
x^3(x-2y)+y^3(2x-y)因式分解,【急!】

x^3(x-2y)+y^3(2x-y)因式分解,【急!】
X^3（x-2y）+y^3（2x-y）
=x^4-2x^3y+2xy^3-y^4
=(x^2+y^2)(x+y)(x-y)-2xy(x^2-y^2)
=(x^2+y^2-2xy)(x+y)(x-y)
=(x-y)^3(x+y)
手机提问的朋友在客户端右上角评价点【满意】即可.

原式=x^4-2x^3y+2xy^3-y^4
=x^4-y^4+2xy^3-2x^3y
=(x^2+y^2)(x^2-y^2)+2xy(y^2-x^2)
=(x^2-y^2)[(x^2+y^2)-2xy]
=(x+y)(x-y)(x-y)^2
=(x+y)(x-y)^3

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