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