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\frac{\left(2x+1\right)\left(4x^{2}-2x+1\right)}{\left(2x+1\right)^{3}}
Factor the expressions that are not already factored.
\frac{4x^{2}-2x+1}{\left(2x+1\right)^{2}}
Cancel out 2x+1 in both numerator and denominator.
\frac{4x^{2}-2x+1}{4x^{2}+4x+1}
Expand the expression.
\frac{\left(2x+1\right)\left(4x^{2}-2x+1\right)}{\left(2x+1\right)^{3}}
Factor the expressions that are not already factored.
\frac{4x^{2}-2x+1}{\left(2x+1\right)^{2}}
Cancel out 2x+1 in both numerator and denominator.
\frac{4x^{2}-2x+1}{4x^{2}+4x+1}
Expand the expression.