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