If a b c are all non zero and a + b + c =0 prove that a^2/bc+b^2/ca+c^2/ab
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Step-by-step explanation:
a+ b+ c =0
a^2/bc+ b^2/ca+ c^2/ab
= (a^3 + b^3 + c^3)/abc
= (a+b+c)(a^2+ b^2+c^2 -ab-bc-ca)+3abc
= 0 (a^2+ b^2+c^2 -ab-bc-ca)+3abc
= 3abc
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