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Algebra Level 5

If \(z_1,z_2,z_3\) are \(\text{complex numbers}\) such that \(|z_1| = 2\), \(|z_2| = 3\) and \(|z_3| = 4\) Find the maximum value of \(|z_1-z_2|^2 + |z_2-z_3|^2 + |z_3-z_1|^2\)

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