Simplify f(x)=((x+2)(x+1)^3)/((x+2)(x-3)^2)

$f (x) = \frac{(x + 2) {(x + 1)}^{3}}{(x + 2) {(x - 3)}^{2}}$

Cancel the common factor.

$f (x) = \frac{(x + 2) {(x + 1)}^{3}}{(x + 2) {(x - 3)}^{2}}$