Answer
$\frac{1}{x-3}$
Work Step by Step
Combine the terms with the same denominator. Then simplify the numerator and factor the denominator using trial and error. Then cancel out common terms in the numerator and denominator.
$\frac{2x-7}{x^2-9}-\frac{x-10}{x^2-9}$
$\frac{2x-7-x+10}{x^2-9}$
$\frac{x+3}{(x+3)(x-3)}$
$\frac{1}{x-3}$
