# My first problem on complex numbers

Algebra Level 4

Let $$z$$ be a complex number with $$\left| z \right| =\sqrt { 2 }$$ then find the maximum value of $$\Large\left| \frac { (z-1)^{ 2 }(z+1) }{ { z }^{ 2 } } \right|$$.

Write your answer as the square of the number.

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