x3次方-xy平方+x平方y-y3次方 分解因式
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x³-xy²+x²y-y³
=x³-y³+(x²y-xy²)
=(x-y)(x²+y²+xy)+(xy)(x-y)
=(x-y)(x²+y²+2xy)
=(x-y)(x+y)²
=x³-y³+(x²y-xy²)
=(x-y)(x²+y²+xy)+(xy)(x-y)
=(x-y)(x²+y²+2xy)
=(x-y)(x+y)²
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x^3-xy^2+x^2y-y^3
=x(x^2-y^2)+y(x^2-y^2)
=(x^2-y^2)(x+y)
=(x+y)(x-y)(x+y)
=(x+y)^2(x-y)
=x(x^2-y^2)+y(x^2-y^2)
=(x^2-y^2)(x+y)
=(x+y)(x-y)(x+y)
=(x+y)^2(x-y)
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