# How do you simplify (y^2+10y+16)/(y+2) and find the excluded values?

Apr 8, 2017

Factor the trinomial divide out the binomial in the denominator
$y = - 2$ is excluded because it would result in an undefined value.

#### Explanation:

$\frac{{y}^{2} + 10 y + 16}{y + 2} = \frac{\left(y + 2\right) \times \left(y + 8\right)}{y + 2}$

Divide out the common factor of $\left(y + 2\right)$ this leaves.

$\left(y + 8\right)$