# Complex numbers with Maxima

Algebra Level 3

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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