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# how to prove this ?

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Joined: 25 Mar 2008
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how to prove this ? [#permalink]  07 Dec 2009, 18:53
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When a + b + c = 0, then a^3 + b^3 + c^3 = 3abc

how to prove this ?
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Joined: 30 Aug 2009
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Concentration: General Management
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Re: how to prove this ? [#permalink]  07 Dec 2009, 19:23
ghentu wrote:
When a + b + c = 0, then a^3 + b^3 + c^3 = 3abc

how to prove this ?

a^3 + b^3 + c^3 - 3abc = ( a + b + c )(a^2 +b^2 +c^2 -ab-bc-ac). now if ( a + b + c ) =0 then we get a^3 + b^3 + c^3 = 3abc
Re: how to prove this ?   [#permalink] 07 Dec 2009, 19:23
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