If \( \alpha \) and \( \beta \) are the distinct roots of the equat...

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If \( \alpha \) and \( \beta \) are the distinct roots of the equation
\( \mathrm{P} \) \( x^{2}+(3)^{1 / 4} x+3^{1 / 2}=0 \), then the value of

W \( \alpha^{96}\left(\alpha^{12}-1\right)+\beta^{96}\left(\beta^{12}-1\right) \) is equal to
(1) \( 56 \times 3^{25} \)
(2) \( 56 \times 3^{24} \)
(3) \( 52 \times 3^{24} \)
(4) \( 28 \times 3^{25} \)
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