We are asked to expand the expression $(x+4)(x-4)$.

1. Problem Description

We are asked to expand the expression $(x+4)(x-4)$.

2. Solution Steps

We can use the distributive property (also known as the FOIL method) to expand the expression.

$(x+4)(x-4) = x(x-4) + 4(x-4)$

$= x^2 - 4x + 4x - 16$

$= x^2 - 16$

Alternatively, we can recognize that this is in the form of a difference of squares:

$(a+b)(a-b) = a^2 - b^2$.

In this case, $a = x$ and $b = 4$, so $(x+4)(x-4) = x^2 - 4^2 = x^2 - 16$.

3. Final Answer

$x^2 - 16$