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Question

If a + b + c = 0, then a2bc+b2ca+c2ab=


  1. 1

  2. -1

  3. 3

  4. 0


Solution

The correct option is C

3


a+b+c=0a2bc+b2ca+c2ab=a3abc+b3abc+c3abc=a3+b3+c3abc=3abcabc=3If a+b+c=0Then, a3+b3+c3=3abc

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