Answer
$(x + 3)(x + 8)(x - 8)$
Work Step by Step
For $\frac{x - 2}{x^2 - 5x - 24}$ and $\frac{3}{x^2 + 11x + 24}$, we consider $x^2 - 5x - 24$ and $x^2 + 11x + 24$.
$x^2 - 5x - 24 = (x - 8)(x + 3)$, and
$x^2 + 11x + 24 = (x + 3)(x + 8)$
The LCD of the 2 rational expressions is $(x + 3)(x + 8)(x - 8)$.
