【计算,分解因式】x²(x-y)+y²(y-x)

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【计算,分解因式】x²(x-y)+y²(y-x)
【计算,分解因式】x²(x-y)+y²(y-x)

【计算,分解因式】x²(x-y)+y²(y-x)
原式=(x^2-y^2)(x-y)
=(x+y)(x-y)^2

x²(x-y)+y²(y-x) = x²(x-y)-y²(x-y) = (x²-y²)(x-y)=(x+y)(x-y)(x-y)

x²(x-y)+y²(y-x)
=(x-y)(x² - y²)
=(x-y)(x-y)(x+y)
=(x-y)²(x+y)