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