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8\left(121v^{2}-49\right)
Factor out 8.
\left(11v-7\right)\left(11v+7\right)
Consider 121v^{2}-49. Rewrite 121v^{2}-49 as \left(11v\right)^{2}-7^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
8\left(11v-7\right)\left(11v+7\right)
Rewrite the complete factored expression.