How Do You Simplify This Complex Absolute Value Expression?

[FlufferNuterFSU]

Homework Statement

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

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

Homework Equations

I know \left|e^{ix}\right| = 1

The Attempt at a Solution

I know this eventually simplifies to:
<br /> (\alpha + k)^{4} + (\alpha - k)^{4} - (\alpha^{2} - k^{2})^{2}(e^{4i \alpha a} + e^{-4i \alpha a})<br />

 

[FlufferNuterFSU]

Don't worry about it. I figured it out.