Factor
\left(a-5xy^{2}\right)\left(25x^{2}y^{4}+5axy^{2}+a^{2}\right)
Evaluate
a^{3}-125x^{3}y^{6}
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\left(-5xy^{2}+a\right)\left(25x^{2}y^{4}+5axy^{2}+a^{2}\right)
Consider a^{3}-125x^{3}y^{6} as a polynomial over variable a. Find one factor of the form a^{k}+m, where a^{k} divides the monomial with the highest power a^{3} and m divides the constant factor -125x^{3}y^{6}. One such factor is -5xy^{2}+a. Factor the polynomial by dividing it by this factor.
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