Answer
$\frac{x+3}{x-2}$
Work Step by Step
Factor the numerator and denominator using trial and error, and then cancel out common terms on the top and bottom.
$\frac{x^2+2x-3}{x^2-3x+2}$
$\frac{(x+3)(x-1)}{(x-2)(x-1)}$
$\frac{x+3}{x-2}$