Answer
$15x^2-4xy-4y^2$
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
$$
(3x -2y)(5x + 2y)=3x (5x + 2y) -2y(5x + 2y)\\
=15x^2+6xy-10xy-4y^2=15x^2-4xy-4y^2
.$$
