## Algebra: A Combined Approach (4th Edition)

$\dfrac{x+5}{x^{2}-4x-45}=\dfrac{1}{x-9}$
$\dfrac{x+5}{x^{2}-4x-45}$ Factor the denominator and then simplify: $\dfrac{x+5}{x^{2}-4x-45}=\dfrac{x+5}{(x+5)(x-9)}=\dfrac{1}{x-9}$