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Simplifying Absolute Value

  1. Oct 24, 2009 #1
    1. The problem statement, all variables and given/known data

    I need to simplify the expression below. The absolute value is throwing me off

    [tex]
    \left[\left|(\alpha + k)^{2}e^{-2i \alpha a} - (\alpha - k)^{2}e^{2i \alpha a}\right|\right]^{2}
    [/tex]

    2. Relevant equations

    I know [tex]\left|e^{ix}\right| = 1[/tex]

    3. The attempt at a solution

    I know this eventually simplifies to:
    [tex]
    (\alpha + k)^{4} + (\alpha - k)^{4} - (\alpha^{2} - k^{2})^{2}(e^{4i \alpha a} + e^{-4i \alpha a})
    [/tex]
     
  2. jcsd
  3. Oct 24, 2009 #2
    Don't worry about it. I figured it out.
     
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