Question

if a, b, c are all non zero and a+b+c=0. prove that a^2/bc + b^2/ca + c^2/ab = 3
... I will mark brainliest

Answer 1

We know that if a+b+c =0 , then a3 + b3 + c3 = 3abc Now, we have:LHS = a2/bc+b2/ca+c2/ab= a3+b3+c3/abc= 3abc/abc= 3 = RHSHence, proved

Answer 2

Please mark my answer as brainlest 
We know that a³+b³+c³ = 3abc if a+b+c=0
When we divide a³,b³,c³ by abc we get
a²/bc + b²/ca + c²/ab = 3 hence proved