Algebraic Sum Of Roots

Algebra Level 2

If α\alpha, β\beta, and γ\gamma are the roots of x3x1=0x^3-x-1=0, compute:

1α1+α+1β1+β+1γ1+γ\frac{1-\alpha}{1+\alpha}+\frac{1-\beta}{1+\beta}+\frac{1-\gamma}{1+\gamma}

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