Re: Factor, Expand. Daytime Hours.

*To*: mathgroup at smc.vnet.net*Subject*: [mg32321] Re: Factor, Expand. Daytime Hours.*From*: lalu_bhatt at yahoo.com (Bhuvanesh)*Date*: Tue, 15 Jan 2002 02:29:57 -0500 (EST)*References*: <a1p2gh$6vq$1@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

Matthias.Bode at oppenheim.de wrote: > 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 ? In[1]:= Factor[a^2 + b^2, GaussianIntegers->True] Out[1]= (a - I b) (a + I b) In[2]:= Factor[a^2 + b^2, Extension->{I}] Out[2]= (a - I b) (a + I b) Bhuvanesh. Disclaimer: Any and all opinions expressed are those of the author.