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