# Complex Analysis question?

Prove |v+iw|^2 + |w+iv|^2 = 2[|v|^2 + |w|^2]

### 1 Answer

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- WenTianQianLv 59 years agoFavourite answer
|v+iw|^2 + |w+iv|^2

=(|v|^2+|w|^2)+(|w|^2+|v|^2)

=2(|v|^2+|w|^2)

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