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\frac{\left(6x-1\right)\left(6x+1\right)}{\left(6x+1\right)^{2}}\times \frac{6x+1}{6x-1}
Factor the expressions that are not already factored in \frac{36x^{2}-1}{36x^{2}+12x+1}.
\frac{6x-1}{6x+1}\times \frac{6x+1}{6x-1}
Cancel out 6x+1 in both numerator and denominator.
\frac{\left(6x-1\right)\left(6x+1\right)}{\left(6x+1\right)\left(6x-1\right)}
Multiply \frac{6x-1}{6x+1} times \frac{6x+1}{6x-1} by multiplying numerator times numerator and denominator times denominator.
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Cancel out \left(6x-1\right)\left(6x+1\right) in both numerator and denominator.