The problem asks us to expand the expression $(x + 6y)^2$.

1. Problem Description

The problem asks us to expand the expression $(x + 6y)^2$.

2. Solution Steps

We can expand the expression using the binomial formula:

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

In this case, $a = x$ and $b = 6y$. Substituting these values into the formula, we get:

$(x + 6y)^2 = x^2 + 2(x)(6y) + (6y)^2$

Now, we simplify the terms:

$2(x)(6y) = 12xy$

$(6y)^2 = 6^2 * y^2 = 36y^2$

Therefore,

$(x + 6y)^2 = x^2 + 12xy + 36y^2$

3. Final Answer

$x^2 + 12xy + 36y^2$