Inspired by Akshat Sharda

Algebra Level 5

\[\large \displaystyle \sum_{\alpha,\beta,\gamma} \frac{(1+\alpha)^2}{1-\alpha}\]

Given that \(\alpha,\beta\) and \(\gamma\) are the roots of \(x^3-x-1=0\), then find the value of above expression.


Inspiration.

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