Question

if a,b,c are all non zero & a+b+c=0 prove a^2÷bc + b^2 ÷ca + c^÷ab =3​

Answer 1

Answer:

a³+b³+c³-3abc=(a+b+c)(a²+b²+c²-ab-bc-ca)

given....a+b+c=0

put this in formula

so

a³+b³+c³=3abc.......prove this

now

taking lcm

a³+b³+c³/abc=3

a³+b³+c³=3abc

hence proved

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