Factor
\left(x-1\right)\left(x^{2}+1\right)
Evaluate
\left(x-1\right)\left(x^{2}+1\right)
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x^{2}\left(x-1\right)+x-1
Do the grouping x^{3}-x^{2}+x-1=\left(x^{3}-x^{2}\right)+\left(x-1\right), and factor out x^{2} in x^{3}-x^{2}.
\left(x-1\right)\left(x^{2}+1\right)
Factor out common term x-1 by using distributive property. Polynomial x^{2}+1 is not factored since it does not have any rational roots.
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