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