Question

if a+b+c =0 then find a²/bc+b²/ac+c²/ab =?

Answer 1

GIVEN 
a  + b + c = 0

TO SOLVE
(a^2 / bc) + (b^2 / ca) + (c^2 / ab)

LCM is abc
= (a^3 + b^3 + c^3 ) / abc

IDENTITY
a^3 + b^3 + c^3 = 3abc

If a + b + c = 0 ,
then  (a^3 + b^3 + c^3 ) / abc
= 3abc / abc
= 3