Factor
\left(xy+1\right)\left(x^{2}y^{2}-xy-1\right)
Evaluate
-2xy+\left(xy\right)^{3}-1
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y^{3}x^{3}-2yx-1
Consider x^{3}y^{3}-2xy-1 as a polynomial over variable x.
\left(xy+1\right)\left(x^{2}y^{2}-xy-1\right)
Find one factor of the form y^{k}x^{m}+n, where y^{k}x^{m} divides the monomial with the highest power y^{3}x^{3} and n divides the constant factor -1. One such factor is xy+1. Factor the polynomial by dividing it by this factor.
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