# How do you factor 96xy + 112x + 84y + 98 by grouping?

Sep 4, 2016

$96 x y + 112 x + 84 y + 98 = 2 \left(8 x + 7\right) \left(6 y + 7\right)$

#### Explanation:

Separate out the common scalar factor $2$ and factor by grouping:

$96 x y + 112 x + 84 y + 98 = 2 \left(\left(48 x y + 56 x\right) + \left(42 y + 49\right)\right)$

$\textcolor{w h i t e}{96 x y + 112 x + 84 y + 98} = 2 \left(8 x \left(6 y + 7\right) + 7 \left(6 y + 7\right)\right)$

$\textcolor{w h i t e}{96 x y + 112 x + 84 y + 98} = 2 \left(8 x + 7\right) \left(6 y + 7\right)$