What about this? 2

Algebra Level 5

A=cycα3βγ+1\large \mathcal A =\displaystyle\sum_{\text{cyc}} \frac{\alpha^3}{\beta\gamma+1}

If α,β\alpha,\beta and γ\gamma are roots of the equation x37x2+5x+2=0x^3-7x^2+5x+2=0, then find A\mathcal A.


Try the Part-1 and this problem first.

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