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# (a^3 + b^3 + c^3)

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Intern
Joined: 07 Jan 2013
Posts: 5
GMAT 1: 720 Q48 V38
(a^3 + b^3 + c^3)  [#permalink]

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07 Jul 2013, 22:46
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Is there any shortcut on how to quickly simplify this expression (a^3 + b^3 + c^3) into this form (a+b+c)(a^2+b^2+c^2-ab--bc-ac)+3abc
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Joined: 02 Sep 2009
Posts: 52344
Re: (a^3 + b^3 + c^3)  [#permalink]

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07 Jul 2013, 22:56
jobeto12 wrote:
Is there any shortcut on how to quickly simplify this expression (a^3 + b^3 + c^3) into this form (a+b+c)(a^2+b^2+c^2-ab--bc-ac)+3abc

Easier to memorize that $$a^2+b^3+c^3=(a+b+c)(a^2+b^2+c^2-ab-bc-ac)+3abc$$.
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Re: (a^3 + b^3 + c^3)  [#permalink]

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08 Jul 2013, 23:47
Factorization of expressions involving cubic terms is outside the scope of GMAT quantitative. I have not seen a single official question that requires such factorization and I am pretty certain that these types of problems would not be tested on the GMAT.

Dabral
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Re: (a^3 + b^3 + c^3)  [#permalink]

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28 Jan 2018, 22:58
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Re: (a^3 + b^3 + c^3) &nbs [#permalink] 28 Jan 2018, 22:58
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