If a,b and c are positive real numbers such that abc=1,then the minimum value of a3+b3+c3+a2(b+c)+b2(a+c)+c2(a+b)isa.1b.9a2b2c2c.6d.none of these

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jitender

askiitians expert 

Hi Menka,

Us AM-GM inequality (on the 9 terms, in the question)

You will get, the minimum value of the expression to be 9.

Hence Option (B).

Best Regards,

Ashwin (IIT Madras).

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