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v\left(9v^{2}-16\right)
Factor out v.
\left(3v-4\right)\left(3v+4\right)
Consider 9v^{2}-16. Rewrite 9v^{2}-16 as \left(3v\right)^{2}-4^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
v\left(3v-4\right)\left(3v+4\right)
Rewrite the complete factored expression.