Answer
$8x$
Work Step by Step
By using the FOIL method, we multiply the first, outside, inside, and the last element of each bracket and we add them.
So, $(x+2)^2 - (x-2)^2=(x+2)\times (x+2) - (x-2)\times (x-2) = x^2+4x+4 - (x^2-4x+4) = 4x+4x = 8x$