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