x平方Y-XY平方+X立方-Y立方

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x平方Y-XY平方+X立方-Y立方
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x平方Y-XY平方+X立方-Y立方
x平方Y-XY平方+X立方-Y立方

x平方Y-XY平方+X立方-Y立方
原式=XY(X-Y)+(X-Y)(X²+XY+Y²)
=(X-Y)(XY+X²+XY+Y²)
=(X-Y)(X²+2XY+Y²)
=(X-Y)(X+Y)²

=xy(x-y)+(x-y)(x^2+xy+y^2)
=(x-y)(x^2+y^2)

x²y-xy²+x³-y³
=x²(x+y)-y²(x+y)
=(x+y)(x²-y²)
=(x+y)(x-y)(x+y)
=(x+y)²(x-y)