# How do you simplify (a^2+4a)/(a^2-16)?

Aug 4, 2017

By factoring the expression: $\frac{a}{a - 4}$

#### Explanation:

Your expression can be simplified by factoring

$\frac{{a}^{2} + 4 a}{{a}^{2} - 16}$

$= \frac{a \times \left(a + 4\right)}{\left(a - 4\right) \times \left(a + 4\right)}$

$= \frac{a}{a - 4}$

This is your answer: $\frac{a}{a - 4}$