Factor
\left(x^{4}-yz^{2}\right)\left(x^{8}+y^{2}z^{4}+yz^{2}x^{4}\right)
Evaluate
x^{12}-y^{3}z^{6}
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\left(x^{4}-yz^{2}\right)\left(x^{8}+y^{2}z^{4}+yz^{2}x^{4}\right)
Consider x^{12}-y^{3}z^{6} 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^{12} and m divides the constant factor -y^{3}z^{6}. One such factor is x^{4}-yz^{2}. Factor the polynomial by dividing it by this factor.
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