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## Homework Statement

Prove that for any a, b ∈ ℂ, |a - b|

^{2}+ |a + b|

^{2}= 2(|a|

^{2}+ |b|

^{2}).

## Homework Equations

|a|

^{2}= aa*

(a - b)* = (a* - b*)

(a + b)* = (a* + b*)

* = complex conjugate

## The Attempt at a Solution

I've already shown that the relation is true. I'm not quite sure what the geometric interpretation is. My guess is a side of a triangle. -_-

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