Answer
LCD = $(x + 6)(x + 5)$
$\frac{(x - 5)(x + 5)}{(x + 6)(x + 5)}$
$\frac{(x - 5)(x + 6)}{(x + 6)(x + 5)}$
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 = $(x + 6)(x + 5)$
Now that we have the least common denominator, we multiply the numerators of each fraction with the factors it is missing in the denominator:
$\frac{(x - 5)(x + 5)}{(x + 6)(x + 5)}$
$\frac{(x - 5)(x + 6)}{(x + 6)(x + 5)}$
