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If a+b+c = 0

then a^{3}+b^{3}+c^{3} = ?

3abc 0 1 None of these

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1 solution

Pranjal Jain
Jul 16, 2014

a 3 a^{3} + b 3 b^{3} + c 3 c^{3} -3abc=(a+b+c) ( a 2 a^{2} + b 2 b^{2} + c 2 c^{2} -ab-bc-ca)

a 3 a^{3} + b 3 b^{3} + c 3 c^{3} -3abc=0

a 3 a^{3} + b 3 b^{3} + c 3 c^{3} =3abc

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