# How do you factor completely: 4xy + 9x + 24y + 54 ?

Jul 19, 2015

Factor by grouping to find:

$4 x y + 9 x + 24 y + 54 = \left(x + 6\right) \left(4 y + 9\right)$

#### Explanation:

$4 x y + 9 x + 24 y + 54$

$= \left(4 x y + 9 x\right) + \left(24 y + 54\right)$

$= x \left(4 y + 9\right) + 6 \left(4 y + 9\right)$

$= \left(x + 6\right) \left(4 y + 9\right)$