Answer
$\frac{2x + 4}{x - 1}$
Work Step by Step
When one rational expression is divided by another, multiply the first rational expression with the reciprocal of the second:
$\frac{x^2 + 6x + 8}{x^2 + x - 2} \times \frac{2x + 4}{x + 4}$
Factor all expressions:
$\frac{(x + 4)(x + 2)}{(x + 2)(x - 1)} \times \frac{2(x + 2)}{x + 4}$
Divide out common factors $x + 2$ and $x + 4$:
$\frac{x + 2}{x - 1} \times 2$
Multiply to simplify:
$\frac{2x + 4}{x - 1}$
