EVILNess asks Algebra (HELP)

[EVILNess]

I suck at math. Specifically algebra.

Well, I am taking an online algebra class (Not cause I want to, trust me) and I am having a bit of a problem understanding an example. I would ask the teacher, but he never answers his goddamn email and I need some help now.

It's been 9 years since I have done Algebra, and I don't remember a lot of the stuff it is assuming I know. (Don't worry, I am not asking you to do the problems for. Even if I want to.)

I think I got everything right up to the point of "simplify." Which sucks because they just kinda jump on me like so:

"Now you have:
f(x) = 4(x-2)^2-2
NOW SIMPLIFY INTO
f(x) = 4x^2-16x+14
CONGRATS ON YOUR ANSWER"

How did they turn the first into the second? This sucks because I know I did this back in high school, but its been almost 10 years and yeah no matter how it nags the back of my mind I CAN'T REMEMBER. I don't even remember the name of what they are doing there to look it up! HELP.