Factor
\left(8xy-1\right)\left(64x^{2}y^{2}+8xy+1\right)
Evaluate
512\left(xy\right)^{3}-1
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\left(8xy-1\right)\left(64x^{2}y^{2}+8xy+1\right)
Rewrite 512x^{3}y^{3}-1 as \left(8xy\right)^{3}-1^{3}. The difference of cubes can be factored using the rule: a^{3}-b^{3}=\left(a-b\right)\left(a^{2}+ab+b^{2}\right).
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