# How do you factor by grouping 7v^2+48v-7?

$7 {v}^{2} + 48 v - 7$
$= 7 {v}^{2} + 49 v - 1 v - 7$
$= 7 v \left(v + 7\right) - 1 \left(v + 7\right)$
$= \left(7 v - 1\right) \left(v + 7\right)$