Factor
\left(a-1\right)\left(2a^{3}-1\right)
Evaluate
\left(a-1\right)\left(2a^{3}-1\right)
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2a^{3}\left(a-1\right)-\left(a-1\right)
Do the grouping 2a^{4}-2a^{3}-a+1=\left(2a^{4}-2a^{3}\right)+\left(-a+1\right), and factor out 2a^{3} in the first and -1 in the second group.
\left(a-1\right)\left(2a^{3}-1\right)
Factor out common term a-1 by using distributive property. Polynomial 2a^{3}-1 is not factored since it does not have any rational roots.
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