Complex numbers with Maxima

Algebra Level 4

Let there be \(3\) complex numbers \(z_1,z_2,z_3\) such that \(|z_1| = 2 , |z_2| = 3\) and \( |z_3| = 4 \) then find the maximum value to the expression \(|z_1 - z_2| ^ {2} + |z_2 - z_3| ^ {2} + |z_3 - z_1| ^ {2} \)

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