Answer
$\frac{6}{(n + 4)(n + 7)}$
Work Step by Step
Let's factor the numerators and denominators first:
$\frac{2(n + 3)}{(n + 3)(n + 5)} • \frac{3(n + 5)}{(n + 4)(n + 7)}$
Now, we want to cancel out the factors that are common in the numerators and denominators of each rational expression:
$\frac{2}{n + 5} • \frac{3(n + 5)}{(n + 4)(n + 7)}$
Multiply the two expressions together:
$\frac{2 • 3(n + 5)}{(n + 5)(n + 4)(n + 7)}$
Cancel out factors that are common in the numerator and denominator:
$\frac{6}{(n + 4)(n + 7)}$
