Answer
$$9x^{2} + 30xy + 25y^{2}$$
Work Step by Step
The first thing we want to do with this problem is to expand the expression so that we can see the terms clearly:
$$(3x + 5y)(3x + 5y)$$
We use the FOIL method to evaluate this expression. We multiply each term within the first set of parentheses with each term in the second set of parentheses:
$$9x^{2} + 15xy + 15xy + 25y^{2}$$
Now, we combine like terms:
$$9x^{2} + 30xy + 25y^{2}$$
