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

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 \( \alpha^{96}\left(\alpha^{12}-1\right)+\beta^{96}\left(\beta^{12}-1\right) \) is equal to

[JEE Main 2021, 20 Jul (Shift 1)]