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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)(alpha^(12)-1)+beta^(96)(beta^(12)-1))` is equal to :

A

`56 xx 3^(25)`

B

`56 xx 3^(24)`

C

`52 xx 3^(24)`

D

`28 xx 3^(25)`

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JEE MAINS PREVIOUS YEAR-JEE MAINS 2021-Mathematics (Section A )
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