Factor
\left(8x^{2}-12wx-1\right)\left(8x^{2}+12wx+1\right)
Evaluate
64x^{4}-24wx-144\left(wx\right)^{2}-1
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\left(8x^{2}-1-12xw\right)\left(8x^{2}+1+12xw\right)
Rewrite 64x^{4}-1-24wx-144w^{2}x^{2} as \left(8x^{2}\right)^{2}-\left(1+12xw\right)^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
\left(8x^{2}-12wx-1\right)\left(8x^{2}+12wx+1\right)
Reorder the terms.
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