\begin{myenumerate} \item Développe et réduis les expressions suivantes \end{myenumerate} \begin{multicols}{3} $\Eqalign{ A&=\underbrace{2\times(x+3)}_{\rnode{A}{}}-7\cr A&=\overbrace{\hbox to2cm{\strut\dotfill}}^{\rnode{B}{}}-7\cr \cr A&=\hbox to1.25cm{\dotfill}\underbrace{+6-7}_{\rnode{C}{}}\cr A&=\hbox to1.25cm{\dotfill}\overbrace{\hbox to2cm{\strut\dotfill}}^{\rnode{D}{}}\cr \cr }$ \nccurve[angleA=-90,angleB=90]{->}{A}{B}\nccurve[angleA=-90,angleB=90]{->}{C}{D} \par\columnbreak\par $\Eqalign{ B&=\underbrace{4\times(x+1)}_{\rnode{A}{}}+\underbrace{3\times(x-1)}_{\rnode{E}{}}\cr B&=\overbrace{\hbox to2cm{\strut\dotfill}}^{\rnode{B}{}}+\big(\overbrace{\hbox to2cm{\strut\dotfill}}^{\rnode{F}{}}\big)\cr \cr B&=\hbox to2cm{\dotfill}+\big(\hbox to2cm{\strut\dotfill}\big)\cr B&=\circlenode{B1}{4x}\hbox to1.25cm{\dotfill}\ovalnode{B2}{+3x}\hbox to1.25cm{\dotfill}\cr B&=\ovalnode{C1}{\hbox to1.25cm{\strut\dotfill}}\hbox to1.25cm{\dotfill}\cr }$ \nccurve[angleA=-90,angleB=90]{->}{A}{B}\nccurve[angleA=-45,angleB=135]{->}{E}{F} \nccurve[angleA=-90,angleB=90]{->}{B1}{C1}\nccurve[angleA=-135,angleB=45]{->}{B2}{C1} \par\columnbreak\par $\Eqalign{ C&=\underbrace{2\times(x-1)}_{\rnode{A}{}}-\underbrace{4\times(2-x)}_{\rnode{E}{}}\cr C&=\overbrace{\hbox to2cm{\strut\dotfill}}^{\rnode{B}{}}-\big(\overbrace{\hbox to2cm{\strut\dotfill}}^{\rnode{F}{}}\big)\cr \cr C&=\hbox to2cm{\dotfill}-\big(\hbox to2cm{\strut\dotfill}\big)\cr C&=\ovalnode{B1}{\strut\ldots}\hbox to2cm{\dotfill}\ovalnode{B2}{\strut\ldots}\cr C&=\ovalnode{C1}{6x}\hbox to1.25cm{\dotfill}\cr }$ \nccurve[angleA=-90,angleB=90]{->}{A}{B}\nccurve[angleA=-45,angleB=135]{->}{E}{F} \nccurve[angleA=-90,angleB=90]{->}{B1}{C1}\nccurve[angleA=-135,angleB=45]{->}{B2}{C1} \end{multicols} \begin{myenumerate} \setcounter{enumi}{1} \item \`A l'aide des exemples ci-dessus, développe et réduis les expressions suivantes : \[D=3(x-2)+6\kern1cm E=4(x-1)+2(3-x)\kern1cm F=2(3-x)-3(4+x)\] \end{myenumerate} \begin{Solution} \begin{myenumerate} \setcounter{enumi}{1} \item $D=3x$; $E=2x+2$; $F=-5x+6$ \end{myenumerate} \end{Solution} %@Commentaire: Exercice donné en correction de devoir. Permet un travail en autonomie.