Factor
\left(2x-y^{2}\right)\left(16x^{4}+4x^{2}y^{4}+2xy^{6}+y^{8}+8y^{2}x^{3}\right)
Evaluate
32x^{5}-y^{10}
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\left(2x-y^{2}\right)\left(16x^{4}+4x^{2}y^{4}+2xy^{6}+y^{8}+8y^{2}x^{3}\right)
Consider 32x^{5}-y^{10} as a polynomial over variable x. Find one factor of the form kx^{m}+n, where kx^{m} divides the monomial with the highest power 32x^{5} and n divides the constant factor -y^{10}. One such factor is 2x-y^{2}. Factor the polynomial by dividing it by this factor.
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