Factor
\left(2a-1\right)\left(4a^{2}+2a+1\right)
Evaluate
8a^{3}-1
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\left(2a-1\right)\left(4a^{2}+2a+1\right)
Rewrite 8a^{3}-1 as \left(2a\right)^{3}-1^{3}. The difference of cubes can be factored using the rule: p^{3}-q^{3}=\left(p-q\right)\left(p^{2}+pq+q^{2}\right). Polynomial 4a^{2}+2a+1 is not factored since it does not have any rational roots.
Examples
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