# How do you simplify (x-5)/(x^2-25)?

Aug 5, 2016

$= \frac{1}{x + 5}$

#### Explanation:

Factorise the denominator as the difference of squares.

$\frac{\left(x - 5\right)}{\left(x + 5\right) \left(x - 5\right)}$

$\frac{\cancel{x - 5}}{\left(x + 5\right) \cancel{x - 5}}$

$= \frac{1}{x + 5}$