Answer
$$4x^2 + 12xy + 9y^2$$
Work Step by Step
We expand the expression to see the terms more clearly:
$$(2x + 3y)(2x + 3y)$$
We use distributive property to multiply each term in the first binomial by each term in the second binomial:
$$2x(2x) + 2x(3y) + 3y(2x) + 3y(3y)$$
Multiply to simplify:
$$4x^2 + 6xy + 6xy + 9y^2$$
Group like terms:
$$4x^2 + (6xy + 6xy) + 9y^2$$
Combine like terms:
$$4x^2 + 12xy + 9y^2$$
