Expand the expression $(x+4)^2$.

1. Problem Description

Expand the expression $(x+4)^2$.

2. Solution Steps

We can expand the given expression using the binomial formula:

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

In our case, $a = x$ and $b = 4$.

So, $(x+4)^2 = x^2 + 2(x)(4) + 4^2$

$(x+4)^2 = x^2 + 8x + 16$

3. Final Answer

$x^2 + 8x + 16$