Can you explain why I can't just take statement #1 and square each term:
(a^2)^2 - (b^2)^2 = 16^2?
I thought that would give me: a^4 - b^4 = 16^4
You are correct with C.
We cannot do so
.... It is missing a term and the sign is wrong.
x-y = 2
=> (x-y)^2 = 2^2
<=> x^2 - 2*x*y + y^2 = 4
... the power of 2 is not distributive as a multiplication is