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