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Math Help - Difference of Squares

  1. #1
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    Difference of Squares

    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?
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  2. #2
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    e^(i*pi)'s Avatar
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    a^2-b^2 \neq (a-b)^2

    Instead the difference of two square is a^2-b^2 = (a-b)(a+b) so in your case it will be (a^8-4)(a^8+4). Also note that the first term is also the difference of two squares
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