Answer
$\frac{x^2 - 3x - 10}{(x + 2)(x + 9)(x - 5)}$
Work Step by Step
For $\frac{x + 2}{x^2 + 11x + 18} = \frac{}{(x+2)(x - 5)(x + 9)}$,
$\frac{x + 2}{x^2 + 11x + 18} = \frac{(x + 2)[x - 5]}{(x + 2)(x + 9)[x - 5]}$,
The equivalent rational expression of $\frac{x + 2}{x^2 + 11x + 18}$ with the given denominator is $\frac{(x + 2)[x - 5]}{(x + 2)(x + 9)[x - 5]}$ or $\frac{x^2 - 3x - 10}{(x + 2)(x + 9)(x - 5)}$.
