Final answer to the problem
$\frac{1}{2x+1}$
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Step-by-step Solution
Specify the solving method
1
Factor the difference of squares $4x^2-1$ as the product of two conjugated binomials
$\frac{2x-1}{\left(2x+1\right)\left(2x-1\right)}$
2
Simplify the fraction
$\frac{1}{2x+1}$
Final answer to the problem
$\frac{1}{2x+1}$