Answer
$\frac{(x+3)^3}{(x+2)(x-2)^2}$
Work Step by Step
Factor the numerator and denominator in the first term and then multiply.
$\frac{x^2+6x+9}{x^2-4}*\frac{x+3}{x-2}$
$\frac{(x+3)(x+3)}{(x-2)(x-2)}*\frac{x+3}{x-2}$
$\frac{(x+3)^3}{(x+2)(x-2)^2}$