What about this? 2

Algebra Level 5

\[\large \mathcal A =\displaystyle\sum_{\text{cyc}} \frac{\alpha^3}{\beta\gamma+1} \]

If \(\alpha,\beta\) and \(\gamma\) are roots of the equation \(x^3-7x^2+5x+2=0\), then find \(\mathcal A\).

Try the Part-1 and this problem first.

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