Question

if a b c are all non zero and a + b + C is equal to zero prove that a square upon BC + b square upon CA + c square upon a b is equal to 3

Answer 1

given a+b+c=0
then we know​ that
a3+b3+c3=3abc
(a3+b3+c3)/abc=3abc/abc
a3/abc+b3/abc+c3/abc=3
a2/bc+b2/ac+c2/ab=3
hence proved