Let $\alpha, \beta, \gamma$ be the three roots of the equation $x ^3+ bx + c =0$. 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]
  • A

    $21$

  • B

    $\frac{169}{8}$

  • C

    $19$

  • D

    $\frac{155}{8}$

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