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Math Help - Special Products Question

  1. #1
    Silverwolph
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    Special Products Question

    This is the problem:

    (2^m+1)^2
    by the special product rules it equals
    4^(mm)+4^m+1
    but if I plug in 2 as m then
    (2^2+1)^2=25 but 4^4+4^2+1 does not equal 25

    could someone please explain why this will not check
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  2. #2
    Flow Master
    mr fantastic's Avatar
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    Quote Originally Posted by Silverwolph View Post
    This is the problem:

    (2^m+1)^2
    by the special product rules it equals
    4^(mm)+4^m+1
    but if I plug in 2 as m then
    (2^2+1)^2=25 but 4^4+4^2+1 does not equal 25

    could someone please explain why this will not check
    Isn't it obvious ...... (2^m + 1)^2 \neq 4^{mm} + 4^m + 1.

    Using the ordinary product rule:

    (2^m + 1)^2 = 2^{2m} + 2^{m+1} + 1 = 4^m + 2^{m+1} + 1.
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