# How do you simplify  (5x - 25) / (x^2 - 25)  and what are the restrictions?

$\frac{5 x - 25}{{x}^{2} - 25}$
$= \frac{5 \left(x - 5\right)}{\left(x + 5\right) \left(x - 5\right)}$
$= \frac{5}{\left(x + 5\right)} \cdot \frac{\left(x - 5\right)}{\left(x - 5\right)}$
$= \frac{5}{\left(x + 5\right)} \cdot 1$
$= \frac{5}{x + 5}$