Re: No Subject

*To*: mathgroup at smc.vnet.net*Subject*: [mg32304] Re: No Subject*From*: BobHanlon at aol.com*Date*: Sat, 12 Jan 2002 05:18:15 -0500 (EST)*Sender*: owner-wri-mathgroup at wolfram.com

In a message dated 1/11/02 6:12:41 AM, Matthias.Bode at oppenheim.de writes: >Factor[a^2 - b^2] yields - predictably - > >(a - b)*(a + b). > >The question "what yields the factorization of a^2 + b^2" is not >far-fetched. > >How can I coax MATHEMATICA into giving: (a - I*b)*(a + I*b)? >Are there more "simple" solutions of the same structure (... - ...)*(... >+ >...) or some wizardry like (... + or - ...)^t, where t is some composite >expression ? > Factor[Table[a^(2n)+b^(2n), {n, 3}], GaussianIntegers -> True] {(a - I*b)*(a + I*b), (a^2 - I*b^2)*(a^2 + I*b^2), (a - I*b)*(a + I*b)*(a^2 - I*b*a - b^2)* (a^2 + I*b*a - b^2)} Bob Hanlon Chantilly, VA USA