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JEE Math Practice Question

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 :

  1. A.56 $$\times$$ 325
  2. B.56 $$\times$$ 324
  3. C.52 $$\times$$ 324
  4. D.28 $$\times$$ 325

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