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)

is

a.1

b.9a²b²c²

c.6

d.none of these

Dear Menka Malguri,

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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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