Answer
$\dfrac{x-4}{x+2}$
Work Step by Step
Factor each polynomial to obtain:
$=\dfrac{(x+3)(x-4)}{(x+3)(x+2)}$
Cancel the common factors to obtain:
$\require{cancel}
=\dfrac{\cancel{(x+3)}(x-4)}{\cancel{(x+3)}(x+2)}
\\=\dfrac{x-4}{x+2}$