## College Algebra (6th Edition)

$\frac{1}{x-3}$
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. $\frac{2x-7}{x^2-9}-\frac{x-10}{x^2-9}$ $\frac{2x-7-x+10}{x^2-9}$ $\frac{x+3}{(x+3)(x-3)}$ $\frac{1}{x-3}$