Answer
$24a^2+84a+72$
Work Step by Step
We multiply each term of the first
polynomial by each term of the second polynomial. Then we add the products, as follows
$$
(4a + 8)(6a + 9)=4a (6a + 9)+ 8(6a + 9)\\
=24a^2+36a+48a+72=24a^2+84a+72
.$$