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we have a,b,c are non zeros and a+b+c=0
a^3+b^3+c^3=3abc
now,
a^2/bc+b^2/ca+c^2/ab= a^3+b^3+c^3/abc=3abc/abc=3
hope it helps you..
^}- this sign is indicated the square....
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Answer:
To prove:
If a + b + c = 0, then prove that: a²/bc + b²/ac + c²/ab=3
L. H. S: a²/bc + b²/ac + c²/ab
= a³/abc + b³/abc + c³/abc
=( a³+b³+c³) / (abc)
= (3abc) / (abc) ( As a³ + b³ + c³ = 3abc )
We get:
=> 3
Therefore,
If a+b+c=0 then a²/bc + b²/ac + c²/ab = 3
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