x^3 y^3(x-y)^3+x^2y^2(y-x)^2

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x^3y^3(x-y)^3+x^2y^2(y-x)^2x^3y^3(x-y)^3+x^2y^2(y-x)^2x^3y^3(x-y)^3+x^2y^2(y-x)^2x^3y^3(x-y)^3+x^2y^

x^3 y^3(x-y)^3+x^2y^2(y-x)^2
x^3 y^3(x-y)^3+x^2y^2(y-x)^2

x^3 y^3(x-y)^3+x^2y^2(y-x)^2
x^3 y^3(x-y)^3+x^2y^2(y-x)^2
=x³y³(x-y)³+x²y²(y-x)²
=x³y³(x-y)³+x²y²(x-y)²
=x²y²(x-y)²[xy(x-y)+1]
=x²y²(x-y)²(x²y-xy²+1)