# What is the simplified form of (y^2+y-20)/(y^2-y-12)?

Sep 21, 2015

$\frac{y + 5}{y + 3}$

#### Explanation:

$\frac{{y}^{2} + y - 20}{{y}^{2} - y - 12} = \frac{\left(y + 5\right) \left(y - 4\right)}{\left(y - 4\right) \left(y + 3\right)}$

The factor of (y-4) cancels out as $\frac{y - 4}{y - 4} = 1$

This leaves us with the solution of;

$\frac{{y}^{2} + y - 20}{{y}^{2} - y - 12} = \frac{y + 5}{y + 3}$

Hope it helps :)