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4\left(4x^{2}-1\right)
Factor out 4.
\left(2x-1\right)\left(2x+1\right)
Consider 4x^{2}-1. Rewrite 4x^{2}-1 as \left(2x\right)^{2}-1^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
4\left(2x-1\right)\left(2x+1\right)
Rewrite the complete factored expression.