[OS X TeX] Binomial Expansion

[Claus Gerhardt]

Try this one

\newcommand{\expa}[2]{#1 #2=\polyprint{#1#2}}

Claus

On Nov 23, 2006, at 19:31, Claus Gerhardt wrote:

> No round brackets necessary, e.g., one could write
>
> \Expand{(x+1)(x^3+6)^5+9+x^2}
>
> Claus
>
> On Nov 23, 2006, at 19:28, Claus Gerhardt wrote:
>
>> Here is a variant
>>
>> \newcommand{\Expand}[1]{\polyprint{#1}}
>>
>> Example
>>
>> \Expand{(x+1)(x^3+6)^5}
>>
>> Claus
>>
>>
>> On Nov 23, 2006, at 19:11, Claus Gerhardt wrote:
>>
>>> Alain,
>>>
>>> Here is my  little birthday present:
>>>
>>> \newcommand{\expand}[2]{\polyprint{#1#2}}
>>>
>>> Notice that the polynomials have to be delimited by round  
>>> brackets like
>>>
>>> \expand{(x+1)}{(x+8)^3}
>>>
>>> This will gives you the fully expanded polynomial. A reverse long  
>>> division scheme is a bit more difficult, and frankly, I can't see  
>>> its necessity.
>>>
>>> Claus
>>>
>>>
>>> On Nov 23, 2006, at 18:11, Alain Schremmer wrote:
>>>
>>>> Claus Gerhardt wrote:
>>>>
>>>>> Happy Birthday Alain!
>>>>
>>>> Thank you!
>>>>
>>>>> I had a look at the polynom.sty manual. It is only 6 pages and  
>>>>> well  written. You should give it a try.
>>>>
>>>> I did about a year ago and I have been using \polylongdiv ever  
>>>> since. That was not the point of my post. What I wanted to do  
>>>> over the Christmas break was to learn a little bit about  
>>>> programming in LaTeX. The idea was to write, in the spirit of  
>>>> polylongdiv, a command
>>>>
>>>>    \Expand{a}{b}{some degree}
>>>>
>>>> that would expand and typeset (a+b)^n. I am still going, The TeX  
>>>> Book in hand, to try.
>>>>
>>>>> If \Expand{a}{b}{some degree} should represent polynomial  
>>>>> division, then
>>>>>
>>>>> \polylongdiv[stage=3] {(X-1)(X-1)(X^2+1)^4} {(X-1)(X+1)(X+1)}
>>>>>
>>>>> might be what you want.
>>>>
>>>> Not really since I can expand (a+b)^n in my head and polylongdiv  
>>>> gives me the output but no source to copy-paste.
>>>>
>>>> Nevertheless, \polylongdiv{(x+a)^{n}}{1}(with an actual value  
>>>> for n) is indeed very neat and I will try to cut some more from  
>>>> polynom.sty to get rid of the division (I already got rid of  
>>>> Horner but that was a bit of trial and error.)
>>>>
>>>> What I wanted was to learn a bit about LaTeX along the theme of  
>>>> writing the command.
>>>>
>>>> But, indeed, I hadn't realized that polylongdiv could multiply  
>>>> which of course was dumb since it has to multiply in order to  
>>>> divide (not quite as in "we had to destroy the city in order to  
>>>> save it" of everlasting fame.)
>>>>
>>>> Of course, what I would kill for is a polylongdiv in ascending  
>>>> order. But, as I wrote, Heinz didn't respond to my two requests  
>>>> so I think she or he has better things to do.
>>>>
>>>> Very grateful regards
>>>> --schremmer
>>>> ------------------------- Info --------------------------
>>>> Mac-TeX Website: http://www.esm.psu.edu/mac-tex/
>>>>          & FAQ: http://latex.yauh.de/faq/
>>>> TeX FAQ: http://www.tex.ac.uk/faq
>>>> List Archive: http://tug.org/pipermail/macostex-archives/
>>>>
>>>
>>> ------------------------- Info --------------------------
>>> Mac-TeX Website: http://www.esm.psu.edu/mac-tex/
>>>          & FAQ: http://latex.yauh.de/faq/
>>> TeX FAQ: http://www.tex.ac.uk/faq
>>> List Archive: http://tug.org/pipermail/macostex-archives/
>>>
>>
>> ------------------------- Info --------------------------
>> Mac-TeX Website: http://www.esm.psu.edu/mac-tex/
>>          & FAQ: http://latex.yauh.de/faq/
>> TeX FAQ: http://www.tex.ac.uk/faq
>> List Archive: http://tug.org/pipermail/macostex-archives/
>>
>
> ------------------------- Info --------------------------
> Mac-TeX Website: http://www.esm.psu.edu/mac-tex/
>          & FAQ: http://latex.yauh.de/faq/
> TeX FAQ: http://www.tex.ac.uk/faq
> List Archive: http://tug.org/pipermail/macostex-archives/
>

------------------------- Info --------------------------
Mac-TeX Website: http://www.esm.psu.edu/mac-tex/
          & FAQ: http://latex.yauh.de/faq/
TeX FAQ: http://www.tex.ac.uk/faq
List Archive: http://tug.org/pipermail/macostex-archives/