How do you factor completely: 9xy + 36x − 10y − 40?

Jul 12, 2015

$9 x y + 36 x - 10 y - 40 = \left(9 x - 10\right) \left(y + 4\right)$

Explanation:

$9 x y + 36 x - 10 y - 40$

Factor by grouping.

$\left(9 x y + 36 x\right) - \left(10 y + 40\right)$

Factor out the GCF for the first group and for the second group.

$9 x \left(y + 4\right) - 10 \left(y + 4\right)$

Factor out the $\left(y + 4\right)$.

$\left(9 x - 10\right) \left(y + 4\right)$