Thread: help me in this prob

if
a,b,c are R*

and if
a^3/bc+b^3/ac+c^3/ab > a+b+c

prove that
abc > 0

Originally Posted by oneplan4u

if
a,b,c are R*

and if
a^3/bc+b^3/ac+c^3/ab > a+b+c

prove that
abc > 0

Is there something wrong with this problem? Because the LHS can be manipulated as,

But if then we have,

Thus,

Which is not true, perhaps you mean .