# How do you simplify x^2 + 6xy + 5y^2 div x^2 - y^2?

Jun 7, 2016

$\frac{x + 5 y}{x - y}$

#### Explanation:

$\left({x}^{2} + 6 x y + 5 {y}^{2}\right) = \left(x + y\right) \left(x + 5 y\right)$

and

$\left({x}^{2} - {y}^{2}\right) = \left(x + y\right) \left(x - y\right)$

then

$\frac{{x}^{2} + 6 x y + 5 {y}^{2}}{{x}^{2} - {y}^{2}} = \frac{\left(x + y\right) \left(x + 5 y\right)}{\left(x + y\right) \left(x - y\right)} = \frac{x + 5 y}{x - y}$