Factor
\left(x^{2}+2y\right)\left(x^{8}-8x^{2}y^{3}+16y^{4}+4y^{2}x^{4}-2yx^{6}\right)
Evaluate
x^{10}+32y^{5}
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\left(x^{2}+2y\right)\left(x^{8}-8x^{2}y^{3}+16y^{4}+4y^{2}x^{4}-2yx^{6}\right)
Consider x^{10}+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^{10} and m divides the constant factor 32y^{5}. One such factor is x^{2}+2y. Factor the polynomial by dividing it by this factor.
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