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If α + b + c = 15, and α2 + b2 + c2 = 83, then the value of α3 + b+ c3 - 3αbc will be  
  • a)
    105
  • b)
    90
  • c)
    108
  • d)
    180
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
If α + b + c = 15, and α2 + b2 + c2 = 83, then the value o...
α3 + b3 + c3 -3αbc = (α + b + c) (α2 + b2 + c2 - αb -bc -cα) = (15) (83 - 71
= 15 (12)
= 180
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If α + b + c = 15, and α2 + b2 + c2 = 83, then the value of α3 + b3+ c3 - 3αbc will be a)105b)90c)108d)180Correct answer is option 'C'. Can you explain this answer?
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