# How do you factor 2xy+8x+6y+24 ?

May 25, 2018

$2 \left(y + 4\right) \left(x + 3\right)$

#### Explanation:

Group the four terms into two groups.

$\left(2 x y + 8 x\right) + \left(6 y + 24\right)$

$= 2 x \left(y + 4\right) + 6 \left(y + 4\right) \text{ } \leftarrow$ take out a common factor

$= \left(y + 4\right) \left(2 x + 6\right) \text{ } \leftarrow$ take out the common bracket

$= 2 \left(y + 4\right) \left(x + 3\right) \text{ } \leftarrow$ take out the common factor