Algebra II: Factoring Differences of Squares and Perfect Square Trinomials

Ok I'm going to take out each different type of problem, if you could show me how to do this step by step, it'd be appreciated.

1. a^2 - 9

1. x^2 + 16x + 64

for the first ... it factors to (a-3)(a+3) because when you foil this equation the middle terms cancel out due to them being opposite

The second one factors to (x+8)² because the terms have to multiply to 64 and add to 16. That is the only combination that works

don't say algebra 2 you dumb hooker, it's algebra 1 and everybody knows it.

(a+3)(a-3)
and (x+8)^2