If $\alpha$ and $\beta$ are the distinct roots of the equation $x^{2}+(3)^{1 / 4} x+3^{1 / 2}=0$, then the value of $\alpha^{96}\left(\alpha^{12}-\right.1) +\beta^{96}\left(\beta^{12}-1\right)$ is equal to:

  • [JEE MAIN 2021]
  • A

    $56 \times 3^{25}$

  • B

    $52 \times 3^{24}$

  • C

    $56 \times 3^{24}$

  • D

    $28 \times 3^{25}$

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  • [KVPY 2011]