The problem is to expand the expression $(3x + 2)^2$.

1. Problem Description

The problem is to expand the expression $(3x + 2)^2$.

2. Solution Steps

We can use the formula for the square of a binomial:

$(a + b)^2 = a^2 + 2ab + b^2$

In this case, $a = 3x$ and $b = 2$.

So,

$(3x + 2)^2 = (3x)^2 + 2(3x)(2) + (2)^2$

Now, we calculate each term:

$(3x)^2 = 9x^2$

$2(3x)(2) = 12x$

$(2)^2 = 4$

Putting it all together, we get:

$(3x + 2)^2 = 9x^2 + 12x + 4$

3. Final Answer

$9x^2 + 12x + 4$