Factor
\left(x+2y\right)\left(x^{4}+4x^{2}y^{2}-8xy^{3}+16y^{4}-2yx^{3}\right)
Evaluate
x^{5}+32y^{5}
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\left(x+2y\right)\left(x^{4}+4x^{2}y^{2}-8xy^{3}+16y^{4}-2yx^{3}\right)
Consider x^{5}+32y^{5} as a polynomial over variable x. Find one factor of the form x^{k}+m, where x^{k} divides the monomial with the highest power x^{5} and m divides the constant factor 32y^{5}. One such factor is x+2y. Factor the polynomial by dividing it by this factor.
Examples
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