Let $\alpha, \beta, \gamma$ be the three roots of the equation $x^3+b x+c=0$. If $\beta \gamma=1=-\alpha$, then $b^3+2 c^3-3 \alpha^3-6 \beta^3-8 \gamma^3$ is equal to [JEE Main 2023, 8 Apr (Shift 1)]

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Let \(\alpha, \beta, \gamma\) be the three roots of the equation \(x^3+b x+c=0\). If \(\beta \gamma=1=-\alpha\), then \(…

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