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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