Algebraic Sum Of Roots

Algebra Level 2

If \(\alpha\), \(\beta\), and \(\gamma\) are the roots of \(x^3-x-1=0\), compute:

\[\frac{1-\alpha}{1+\alpha}+\frac{1-\beta}{1+\beta}+\frac{1-\gamma}{1+\gamma}\]

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