# How do you factor 6x^7y^5+48x^5y^4+36xy?

Jul 19, 2018

$6 x y \left({x}^{6} {y}^{4} + 8 {x}^{4} {y}^{3} + 6\right)$

#### Explanation:

To factor the expression we have to find the GCF (Greatest Common Factor) of all the terms, or the greatest factor that all terms have in common.

That term is $6 x y$, so you are left with:
${x}^{6} {y}^{4} + 8 {x}^{4} {y}^{3} + 6$

Therefore, the expression is:
$6 x y \left({x}^{6} {y}^{4} + 8 {x}^{4} {y}^{3} + 6\right)$

Hope this helps!