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\frac{\left(-2x+1\right)x^{2}}{4\left(-2x-1\right)\left(2x-1\right)x^{2}}
Factor the expressions that are not already factored.
\frac{-\left(2x-1\right)x^{2}}{4\left(-2x-1\right)\left(2x-1\right)x^{2}}
Extract the negative sign in 1-2x.
\frac{-1}{4\left(-2x-1\right)}
Cancel out \left(2x-1\right)x^{2} in both numerator and denominator.
\frac{-1}{-8x-4}
Expand the expression.
\frac{\left(-2x+1\right)x^{2}}{4\left(-2x-1\right)\left(2x-1\right)x^{2}}
Factor the expressions that are not already factored.
\frac{-\left(2x-1\right)x^{2}}{4\left(-2x-1\right)\left(2x-1\right)x^{2}}
Extract the negative sign in 1-2x.
\frac{-1}{4\left(-2x-1\right)}
Cancel out \left(2x-1\right)x^{2} in both numerator and denominator.
\frac{-1}{-8x-4}
Expand the expression.