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For a gt0,bgt0,cgt0, which of the follow...

For `a gt0,bgt0,cgt0`, which of the following hold good?

A

`2(a^(3)+b^(3)+c^(3))ge bc (b+c) +ca( c+a)+ ab (a+b)`

B

`(a^(3)+b^(3)+c^(3))/3 ge(a+b+c)/3 . (a^(2)+b^(2)+c^(2))/3`

C

`(bc)/(b+c)+(ca)/(c+a)+(ab)/(a+b)lt1/2(a+b+c)`

D

`2/(b+c)+2/(c+a)+2/(a+b)lt1/a+1/b+1/c`

Text Solution

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The correct Answer is:
A, B, C, D
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