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Subject: Re: ALGEBRA PROBLEM
Date: Thu, 19 May 2011 18:30:21 +0000 (UTC)
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"vasu rao" wrote in message <ir38l8$sfa$1@newscl01ah.mathworks.com>...
> FIND THE FACTORS FOR
> 
> a^6 - b^6

Hi,

Disclaimer : I am not a native speaker so I might answer off the topic. If so, sorry...

Is this a homework? If so, I am quite impressed. We used to do this when we were in 5th grade so I am amazed you had the good idea to come and ask here.

Anyway : 

a^6-b^6=(a^3)^2-(b^3)^2
            = (a^3-b^3)(a^3+b^3)
            = (a-b)(a^2+ab+b^2)(a+b)(a^2-ab+b^2);

If you are also interested in a^6+b^6 (in some parts of the world called G. de Racquigny - Adanson) :

a^6+b^6 = (a^3-2ab^2)^3+(b^3-2a^2b)^2; (not a factorization but is a sum of squares)

Regards,
Florin