Answer
LCD = $(x + 8)(x + 7)$
$\frac{(x + 2)(x + 7)}{(x + 8)(x + 7)}$
$\frac{(x - 4)(x + 8)}{(x + 8)(x + 7)}$
Work Step by Step
The two fractions have already been factored completely.
Next, we want to take the highest power of each factor in the denominators:
LCD = $(x + 8)(x + 7)$
Now that we have the least common denominator, we multiply the numerators of each fraction with the factors it is missing in the denominator:
$\frac{(x + 2)(x + 7)}{(x + 8)(x + 7)}$
$\frac{(x - 4)(x + 8)}{(x + 8)(x + 7)}$