Factor
\left(x+y\right)\left(x^{2}-xy-x+y^{2}+y\right)
Evaluate
x^{3}-x^{2}+y^{3}+y^{2}
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y^{3}+y^{2}+x^{3}-x^{2}
Consider y^{3}+x^{3}+y^{2}-x^{2} as a polynomial over variable y.
\left(x+y\right)\left(x^{2}-xy-x+y^{2}+y\right)
Find one factor of the form y^{k}+m, where y^{k} divides the monomial with the highest power y^{3} and m divides the constant factor x^{3}-x^{2}. One such factor is x+y. Factor the polynomial by dividing it by this factor.
Examples
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