Answer
$\frac{x^2 + 2x + 35}{(x + 2)(x + 9)(x - 5)}$
Work Step by Step
$\frac{x + 2}{x^2 + 11x + 18}$ + $\frac{5}{x^2 - 3x - 10}$
= $\frac{x + 2}{(x + 2)(x + 9)}$ + $\frac{5}{(x - 5)(x + 2)}$
= $\frac{(x + 2)(x - 5)}{(x + 2)(x + 9)(x - 5)}$ + $\frac{5(x + 9)}{(x - 5)(x + 2)(x + 9)}$
= $\frac{(x + 2)(x - 5) + 5(x + 9)}{(x + 2)(x + 9)(x - 5)}$
= $\frac{x^2 + 2x - 5x -10 + 5x + 45}{(x + 2)(x + 9)(x - 5)}$
= $\frac{x^2 + 2x + 35}{(x + 2)(x + 9)(x - 5)}$
