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AM-GM Application

Algebra Level 3

Let \(x,y,z\) be positive real numbers such that \(\frac { 1 }{ x } +\frac { 1 }{ y } +\frac { 1 }{ z } =1\).

Then what is the minimum value of \((x-1)(y-1)(z-1)?\)

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by Achal Jain

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