# Simplifying Absolute Value

1. Oct 24, 2009

### FlufferNuterFSU

1. The problem statement, all variables and given/known data

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

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

2. Relevant equations

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

3. The attempt at a solution

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

2. Oct 24, 2009

### FlufferNuterFSU

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