Answer
$6a^2-5ab-6b^2$
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
$$
(3a + 2b)(2a - 3b)=3a (2a - 3b)+ 2b(2a - 3b)\\
=6a^2-9ab+4ab-6b^2=6a^2-5ab-6b^2
.$$
