Factor
v\left(2v+3\right)\left(4v^{2}-6v+9\right)
Evaluate
v\left(8v^{3}+27\right)
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v\left(8v^{3}+27\right)
Factor out v.
\left(2v+3\right)\left(4v^{2}-6v+9\right)
Consider 8v^{3}+27. Rewrite 8v^{3}+27 as \left(2v\right)^{3}+3^{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).
v\left(2v+3\right)\left(4v^{2}-6v+9\right)
Rewrite the complete factored expression. Polynomial 4v^{2}-6v+9 is not factored since it does not have any rational roots.
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