# Complex Disguise!

Algebra Level 4

Complex numbers $z_1$, $z_2$ and $z_3$ have the following properties.

• $|z_1|=|z_2|=|z_3|=5$
• $z_1+z_2=0$

What is the value of $(z_3-z_1)(\overline{z_3-z_1})+(z_3-z_2)(\overline{z_3-z_2})$?

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