Factor
\left(5a^{3}y^{3}-1\right)\left(-25a^{6}y^{6}-5a^{3}y^{3}-1\right)
Evaluate
1-125\left(ay\right)^{9}
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-125y^{9}a^{9}+1
Consider 1-125a^{9}y^{9} as a polynomial over variable a.
\left(5a^{3}y^{3}-1\right)\left(-25a^{6}y^{6}-5a^{3}y^{3}-1\right)
Find one factor of the form ky^{m}a^{n}+p, where ky^{m}a^{n} divides the monomial with the highest power -125y^{9}a^{9} and p divides the constant factor 1. One such factor is 5a^{3}y^{3}-1. Factor the polynomial by dividing it by this factor.
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