Question

If a+b+c=0 then shw that a square /bc +b square /ca +c square /ab = 3

Answer 1

lets say 
A+B+C=0
than
a³+b³+c³=3abc
dividing of abc
a³/abc + b³/abc + c³/abc =3abc/abc
a²/bc + b²/ac + c²/ab = 3

taking LCM

a³+b³+c³/abc =3
3abc/abc=3
3=3