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JEE Math Practice Question

Let $$\alpha, \beta, \gamma$$ be the three roots of the equation $$x^{3}+b x+c=0$$. If $$\beta \gamma=1=-\alpha$$, then $$b^{3}+2 c^{3}-3 \alpha^{3}-6 \beta^{3}-8 \gamma^{3}$$ is equal to :

  1. A.21
  2. B.19
  3. C.$$\frac{169}{8}$$
  4. D.$$\frac{155}{8}$$

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