Factor
a^{3}\left(xy+1\right)\left(x^{2}y^{2}-xy+1\right)
Evaluate
\left(axy\right)^{3}+a^{3}
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a^{3}\left(x^{3}y^{3}+1\right)
Factor out a^{3}.
\left(xy+1\right)\left(x^{2}y^{2}-xy+1\right)
Consider x^{3}y^{3}+1. Rewrite x^{3}y^{3}+1 as \left(xy\right)^{3}+1^{3}. The sum of cubes can be factored using the rule: p^{3}+q^{3}=\left(p+q\right)\left(p^{2}-pq+q^{2}\right).
a^{3}\left(xy+1\right)\left(x^{2}y^{2}-xy+1\right)
Rewrite the complete factored expression.
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