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Algebra Level 5

∑α,β,γ(1+α1−α)2\large \displaystyle \sum_{\alpha,\beta,\gamma} \left(\dfrac{1+\alpha}{1-\alpha}\right)^2

Given that α,β\alpha,\beta and γ\gamma are the roots of x3−x−1=0x^3-x-1=0, then find the value of above expression.

Akshat Sharda by Akshat Sharda
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