Polynomial Problem 2

Algebra Level 3

\(\alpha,\beta,\gamma\) are the roots of \(x^3-x-1=0\).

Compute \(\qquad\qquad\qquad \dfrac{1-\alpha}{1+\alpha} + \dfrac{1-\beta}{1+\beta} + \dfrac{1-\gamma}{1+\gamma}\)

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