Thread: Difference of Squares

Î need to simplify A^16 - 16 (That's A raised to the 16th power minus 16). I understand the difference of squares pattern. So I start by making it (A^8 - 4)^2 (That's A to the 8th power minus 4) squared. What I don't get is how if I simplified the "difference of squares" as it is now, I wouldn't get A^16 - 16. Does this make sense?

Instead the difference of two square is so in your case it will be . Also note that the first term is also the difference of two squares