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

$= \frac{x \left(x + 2\right)}{\left(x + 2\right) \left(x - 2\right)}$
$= \frac{x}{x - 2} = \frac{x - 2 + 2}{x - 2} = \frac{\left(x - 2\right) + 2}{x - 2} = \frac{2}{x - 2}$