[OS X TeX] Binomial Expansion
Alain Schremmer
Schremmer.Alain at gmail.com
Fri Nov 24 00:56:29 CET 2006
Claus Gerhardt wrote:
>> \expand{(x+a)}{(x+b)} gives "(1a+1b)" as middle term.
>
> Because polynom can only handle one variable.
Indeed, it's even in the manual, work in progress and all that, :-[ ,
but then how come the following
>> \expand{(x+h)^{3}}{1} expands beautifully
>
> This is not my final command
?????
>> \expand{(x_{0}+h)^{3}}{1} gives an error that I assume is due to
>> polyprint not liking _{0}
>
> It doesn't like "_"
That's too bad! Oh well x_{0}+h doesn't occur that often.
>> \Expand{(2+h)^{3}} expands but parentheses surround the ascending
>> expansion!
>
No comment on this one? :-)
>> \begin{equation}
>> \begin{aligned}
>> \expb{(x+2)(x+3)}
>> \end{aligned}
>> \end{equation} writes the expansion under (x+2)(x+3)
>> rather than after =.
>
> Because I placed & at the front thinking to use only for very large
> expressions.
I see.
> You can set the & after =
That moves the expansion right of = but leaves it on the lower line.
> If you want \polyprint command as inline command, not in a display
> equation, use
>
> \newcommand{\expd}[1]{#1=\ensuremath\polyprint{#1}}
\begin{align*}
\expd{(x+h)^{3}}
\end{align*}
\expd works beautifully even though I would say there are two variables but
\begin{align*}
\expd{(2+h)^{3}}
\end{align*}
has the expansion still within patentheses.
By the way, each one of
5\Expand{(2+h)^{2}} +4\Expand{(2+h)^{3}}
and
$5\expd{(2+h)^{2}} +4\expd{(2+h)^{3}}$
act funny.
All in all, it seems that polyprint won't accept ascending powers very
gracefully.
In any case, thanks again, both \Expand and \expd are wonderful birthday
presents which I will use a lot.
Very best regards
--schremmer
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