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%TCIDATA{<META NAME="Title" CONTENT="Expand">}
%TCIDATA{Created=Mon Aug 19 14:52:24 1996}
%TCIDATA{LastRevised=Thu Feb 13 21:43:47 1997}
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\input{tcilatex}
\begin{document}


\subsection{Expand\label{Expand}\hrulefill}

You can expand the products or powers of polynomials with the Expand
command, as these examples show:

\subparagraph{\FRAME{itbpF}{50.75pt}{21.75pt}{6pt}{}{}{ex3.wmf}{\special%
{language "Scientific Word";type "GRAPHIC";display "PICT";valid-file
"F";width 50.75pt;height 21.75pt;depth 6pt;original-width
48.875pt;original-height 19.5625pt;cropleft "0";croptop "1";cropright
"1";cropbottom "0";filename 'ex3.WMF';file-properties "XNPEU";}}\textit{%
Expand } $\dfrac{18229}{94}$}

\begin{enumerate}
\item  Click\FRAME{itbpF}{19.5625pt}{18.8125pt}{2pt}{}{}{fraction.wmf}{%
\special{language "Scientific Word";type "GRAPHIC";display "PICT";valid_file
"F";width 19.5625pt;height 18.8125pt;depth 2pt;original-width
17.8125pt;original-height 16.9375pt;cropleft "0";croptop "1";cropright
"1";cropbottom "0";filename 'fraction.wmf';file-properties "XNPEU";}}or,
from the Insert menu, choose Fraction.

\item  Type \textbf{18229}, press Tab, and type \textbf{94}.

\item  Click\FRAME{itbpF}{22.4375pt}{21.0625pt}{2pt}{}{}{expand.wmf}{\special%
{language "Scientific Word";type "GRAPHIC";display "PICT";valid_file
"F";width 22.4375pt;height 21.0625pt;depth 2pt;original-width
20.3125pt;original-height 18.8125pt;cropleft "0";croptop "1";cropright
"1";cropbottom "0";filename 'expand.wmf';file-properties "XNPEU";}}or, from
the Maple menu, choose Expand. Your screen shows this result: $\dfrac{18229}{%
94}=\allowbreak 193\dfrac{87}{94}.$\medskip 
\end{enumerate}

\subparagraph{\FRAME{itbpF}{50.75pt}{21.75pt}{6pt}{}{}{ex3.wmf}{\special%
{language "Scientific Word";type "GRAPHIC";display "PICT";valid-file
"F";width 50.75pt;height 21.75pt;depth 6pt;original-width
48.875pt;original-height 19.5625pt;cropleft "0";croptop "1";cropright
"1";cropbottom "0";filename 'ex3.WMF';file-properties "XNPEU";}}\textit{%
Expand \ \texttt{tan\textit{\thinspace }}}$\left( a+b\right) $}

\begin{enumerate}
\item  Click\FRAME{itbpF}{20.125pt}{20.125pt}{2pt}{}{}{text.wmf}{\special%
{language "Scientific Word";type "GRAPHIC";maintain-aspect-ratio
TRUE;display "PICT";valid_file "F";width 20.125pt;height 20.125pt;depth
2pt;original-width 16.0625pt;original-height 16.0625pt;cropleft "0";croptop
"1";cropright "1";cropbottom "0";filename 'text.wmf';file-properties
"XNPEU";}}or, from the Insert menu, choose Math to start mathematics.

\item  Type \textbf{tan}. \textit{Scientific Notebook} automatically
recognizes the trigonometric function and displays it on your screen in gray.

\item  Click\FRAME{itbpF}{19.8125pt}{18.9375pt}{2pt}{}{}{parens.wmf}{\special%
{language "Scientific Word";type "GRAPHIC";maintain-aspect-ratio
TRUE;display "PICT";valid_file "F";width 19.8125pt;height 18.9375pt;depth
2pt;original-width 17.8125pt;original-height 16.9375pt;cropleft "0";croptop
"1";cropright "1";cropbottom "0";filename 'parens.wmf';file-properties
"XNPEU";}}and type \textbf{a+b}.

\item  Click\FRAME{itbpF}{22.4375pt}{21.0625pt}{2pt}{}{}{expand.wmf}{\special%
{language "Scientific Word";type "GRAPHIC";display "PICT";valid_file
"F";width 22.4375pt;height 21.0625pt;depth 2pt;original-width
20.3125pt;original-height 18.8125pt;cropleft "0";croptop "1";cropright
"1";cropbottom "0";filename 'expand.wmf';file-properties "XNPEU";}}or, from
the Maple menu, choose Expand. After the computation, you see this result:
\end{enumerate}

\begin{center}
\fbox{$
\begin{tabular}{lll}
& \rule[-0.2in]{0in}{0.45in}$\tan \left( a+b\right) =\allowbreak \dfrac{\tan
b+\tan a}{1-\tan b\tan a}$ & 
\end{tabular}
$}\medskip \medskip
\end{center}

\subparagraph{\textit{Expand these expressions\protect\medskip \label%
{exercises}}}

\begin{quotation}
\[
\left( 3x^{2}+3x\right) ^{3}\text{\hspace{0.5in}}\left( x+y\right) ^{4}\text{%
\hspace{0.5in}}\sin \left( x+y\right) \text{\hspace{0.5in}}\left(
3x^{2}+3x\right) \left( 8x^{2}+7\right) \medskip 
\]
\end{quotation}

\end{document}
