Re: Generalized Newton's binomial theorem



On Wed, 16 Jan 2008 03:02:56 -0800 (PST), zeremonial@xxxxxxxxxx wrote:

if x*y=y*x then (x+y)^n = sum_k ( (n! / (k!(n-k)!)) * (x^(n-k))
* (y^k) )
if x*y<>y*x then (x+y)^n = ?

Try it yourself for small n, for example n = 2 and n = 3.

You'll see that there are no like terms.

quasi
--------
========
A number of sci.math participants have agreed to start their
subject lines with a prefix of "-- ". By using this convention,
most such posts (but perhaps not all) can be quickly
recognized as "non-spam". I encourage others to try the idea.
It's just an experiment to see if we can create an effective way
to quickly recognize a message as probably non-spam.
========
If the recent deluge of spam bothers you (as it does many of us),
join the experiment. We can redeem sci.math, one user at a time.
========
--------
.



Relevant Pages