(a^3 + b^3 + c^3) : GMAT Quantitative Section
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(a^3 + b^3 + c^3)

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Intern
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(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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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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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.

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16 Apr 2015, 16:44
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