Answer
$\frac{1}{x-5}$
Work Step by Step
To simplify, divide both the numerator and denominator by their greatest common factor.
Use the factorization to find the GCF.
$\frac{x+5}{x^2-25}=\frac{(x+5)}{(x+5)(x-5)}=\frac{(x+5)\div(x+5)}{(x+5)(x-5)\div(x+5)}=\frac{1}{x-5}$
