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import work from year 2015-2016

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\documentclass[a4paper,10pt,landscape, twocolumn]{/media/documents/Cours/Prof/Enseignements/tools/style/classExo}
\usepackage{/media/documents/Cours/Prof/Enseignements/2015_2016}
% Title Page
\titre{Développer et réduire - Exercices}
% \seconde \premiereS \PSTMG \TSTMG
\classe{Troisième}
\date{Novembre 2015}
\begin{document}
\begin{Exo}
Réduire les expressions suivantes
\begin{multicols}{2}
\begin{enumerate}
\item $A = 12x + 3x - 3 + 8$
\item $B = 23x + 4 - 11x + 12$
\item $C = 111 - x + 3 + 8X$
\item $D = 121x + 3x + 3x + 8x$
\item $E = 11x\times 8x$
\item $F = 2x\times 4x + 2 \times 3$
\item $G = 11x\times 2x + 11x \times 6$
\item $H = 4x + 20x\times4x + 2\times3 - 6x^2$
\end{enumerate}
\end{multicols}
\end{Exo}
\begin{Exo}
Développer puis réduire les expressions suivantes
\begin{multicols}{2}
\begin{enumerate}
\item $A = 3\times(2x + 1)$
\item $B = 5\times(4x - 5)$
\item $C = 7(2 + 3x)$
\item $D = 9(4x + 9)$
\item $E = 3x(2x + 1)$
\item $F = x(6x - 3)$
\item $G = -6x ( 10x + 100)$
\item $H = -4x(3x - 2) + 3x$
\end{enumerate}
\end{multicols}
\end{Exo}
\begin{Exo}
Développer puis réduire les expressions suivantes
\begin{multicols}{2}
\begin{enumerate}
\item $A = (2x + 3)\times(2x + 1)$
\item $B = (2x + 2)\times(4x - 5)$
\item $C = (7 + 3x)(3x - 1)$
\item $D = (4x + 8)(10x + 100)$
\item $E = (2x + 1)^2$
\item $F = (6x - 3)^2$
\item $G = (10x + 1)(x + 10) - 100$
\item $H = (3x - 1)(x + 10) - 4x$
\end{enumerate}
\end{multicols}
\end{Exo}
\begin{Exo}
\begin{minipage}{0.2\textwidth}
\includegraphics[scale=0.6]{./fig/carre}
\end{minipage}
\begin{minipage}{0.2\textwidth}
\begin{enumerate}
\item Calculer l'aire du rectangle.
\item Développer son expression.
\item Calculer l'aire quand $x$ vaut 4
\end{enumerate}
\end{minipage}
\end{Exo}
\pagebreak
\setcounter{exo}{0}
\begin{Exo}
Réduire les expressions suivantes
\begin{multicols}{2}
\begin{enumerate}
\item $A = 12x + 3x - 3 + 8$
\item $B = 23x + 4 - 11x + 12$
\item $C = 111 - x + 3 + 8X$
\item $D = 121x + 3x + 3x + 8x$
\item $E = 11x\times 8x$
\item $F = 2x\times 4x + 2 \times 3$
\item $G = 11x\times 2x + 11x \times 6$
\item $H = 4x + 20x\times4x + 2\times3 - 6x^2$
\end{enumerate}
\end{multicols}
\end{Exo}
\begin{Exo}
Développer puis réduire les expressions suivantes
\begin{multicols}{2}
\begin{enumerate}
\item $A = 3\times(2x + 1)$
\item $B = 5\times(4x - 5)$
\item $C = 7(2 + 3x)$
\item $D = 9(4x + 9)$
\item $E = 3x(2x + 1)$
\item $F = x(6x - 3)$
\item $G = -6x ( 10x + 100)$
\item $H = -4x(3x - 2) + 3x$
\end{enumerate}
\end{multicols}
\end{Exo}
\begin{Exo}
Développer puis réduire les expressions suivantes
\begin{multicols}{2}
\begin{enumerate}
\item $A = (2x + 3)\times(2x + 1)$
\item $B = (2x + 2)\times(4x - 5)$
\item $C = (7 + 3x)(3x - 1)$
\item $D = (4x + 8)(10x + 100)$
\item $E = (2x + 1)^2$
\item $F = (6x - 3)^2$
\item $G = (10x + 1)(x + 10) - 100$
\item $H = (3x - 1)(x + 10) - 4x$
\end{enumerate}
\end{multicols}
\end{Exo}
\begin{Exo}
\begin{minipage}{0.2\textwidth}
\includegraphics[scale=0.6]{./fig/carre}
\end{minipage}
\begin{minipage}{0.2\textwidth}
\begin{enumerate}
\item Calculer l'aire du rectangle.
\item Développer son expression.
\item Calculer l'aire quand $x$ vaut 4
\end{enumerate}
\end{minipage}
\end{Exo}
\pagebreak
\end{document}
%%% Local Variables:
%%% mode: latex
%%% TeX-master: "master"
%%% End:

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\documentclass[a5paper,10pt, table]{/media/documents/Cours/Prof/Enseignements/tools/style/classDS}
\usepackage{/media/documents/Cours/Prof/Enseignements/2015_2016}
%\geometry{left=10mm,right=10mm, top=10mm, bottom=10mm}
% Title Page
\titre{Developper et reduire}
% \seconde \premiereS \PSTMG \TSTMG
\classe{Troisième}
\date{Janvier 2016}
%\duree{1 heure}
\sujet{1}
% DS DSCorr DM DMCorr Corr
\typedoc{DM}
\geometry{left=10mm,right=10mm, bottom= 10mm, top=10mm}
\printanswers
\pagestyle{empty}
\begin{document}
\begin{questions}
\question
Reduire les expressions suivantes.
\begin{parts}
\part $A = 3 x + 6 x + 8 + 5 x$
\begin{solution}
\begin{eqnarray*}
A & = & 3 x + 6 x + 8 + 5 x \\
A & = & ( 3 + 6 ) x + 8 + 5 x \\
A & = & 9 x + 8 + 5 x \\
A & = & ( 9 + 5 ) x + 8 \\
A & = & 14 x + 8
\end{eqnarray*}
\end{solution}
\part $B = 5 + 9 x + 2 + 7 x + 9$
\begin{solution}
\begin{eqnarray*}
B & = & 5 + 9 x + 2 + 7 x + 9 \\
B & = & 9 x + 5 + 2 + 7 x + 9 \\
B & = & 9 x + 7 + 7 x + 9 \\
B & = & ( 9 + 7 ) x + 7 + 9 \\
B & = & 16 x + 7 + 9 \\
B & = & 16 x + 16
\end{eqnarray*}
\end{solution}
\part $C = 1 x + 7 x - 6 + 3 x$
\begin{solution}
\begin{eqnarray*}
C & = & 1 x + 7 x - 6 + 3 x \\
C & = & x + 7 x - 6 + 3 x \\
C & = & ( 1 + 7 ) x - 6 + 3 x \\
C & = & 8 x - 6 + 3 x \\
C & = & ( 8 + 3 ) x - 6 \\
C & = & 11 x - 6
\end{eqnarray*}
\end{solution}
\part $D = -4 + 9 x - 9 - 8 x - 2$
\begin{solution}
\begin{eqnarray*}
D & = & -4 + 9 x - 9 - 8 x - 2 \\
D & = & 9 x - 4 - 9 - 8 x - 2 \\
D & = & 9 x - 13 - 8 x - 2 \\
D & = & ( 9 - 8 ) x - 13 - 2 \\
D & = & x - 13 - 2 \\
D & = & x - 15
\end{eqnarray*}
\end{solution}
\part $E = 9 x \times 5 + 8 + 10$
\begin{solution}
\begin{eqnarray*}
E & = & 9 x \times 5 + 8 + 10 \\
E & = & 9 \times 5 x + 8 + 10 \\
E & = & 45 x + 8 + 10 \\
E & = & 45 x + 18
\end{eqnarray*}
\end{solution}
\part $F = 9 x \times 6 x + 3 + 6 x + 8$
\begin{solution}
\begin{eqnarray*}
F & = & 9 x \times 6 x + 3 + 6 x + 8 \\
F & = & 9 \times 6 x x + 3 + 6 x + 8 \\
F & = & 54 x x + 3 + 6 x + 8 \\
F & = & 54 x^{ 2 } + 3 + 6 x + 8 \\
F & = & 54 x^{ 2 } + 6 x + 3 + 8 \\
F & = & 54 x^{ 2 } + 6 x + 11
\end{eqnarray*}
\end{solution}
\part $G = -8 x \times ( -2 ) - 4 \times ( -2 ) - 4$
\begin{solution}
\begin{eqnarray*}
G & = & -8 x \times ( -2 ) - 4 \times ( -2 ) - 4 \\
G & = & - 8 x \times ( -2 ) + 8 - 4 \\
G & = & -8 \times ( -2 ) x + 8 - 4 \\
G & = & 16 x + 8 - 4 \\
G & = & 16 x + 4
\end{eqnarray*}
\end{solution}
\part $H = 7 x \times 2 x + 10 + 7 x + 3 \times 3$
\begin{solution}
\begin{eqnarray*}
H & = & 7 x \times 2 x + 10 + 7 x + 3 \times 3 \\
H & = & 7 x \times 2 x + 10 + 7 x + 9 \\
H & = & 7 \times 2 x x + 10 + 7 x + 9 \\
H & = & 14 x x + 10 + 7 x + 9 \\
H & = & 14 x^{ 2 } + 10 + 7 x + 9 \\
H & = & 14 x^{ 2 } + 7 x + 10 + 9 \\
H & = & 14 x^{ 2 } + 7 x + 19
\end{eqnarray*}
\end{solution}
\end{parts}
\question
Developper et reduire les expressions suivantes.
\begin{parts}
\part $A = 5 ( 8 x + 7 )$
\begin{solution}
\begin{eqnarray*}
A & = & 5 ( 8 x + 7 ) \\
A & = & 5 \times 8 x + 5 \times 7 \\
A & = & 40 x + 35
\end{eqnarray*}
\end{solution}
\part $B = 9 ( -6 x + 9 )$
\begin{solution}
\begin{eqnarray*}
B & = & 9 ( -6 x + 9 ) \\
B & = & 9 \times ( -6 ) x + 9 \times 9 \\
B & = & - 54 x + 81
\end{eqnarray*}
\end{solution}
\part $C = 4 x ( 2 x - 7 )$
\begin{solution}
\begin{eqnarray*}
C & = & 4 x ( 2 x - 7 ) \\
C & = & 4 \times 2 x^{ 2 } + 4 \times ( -7 ) x \\
C & = & 8 x^{ 2 } - 28 x
\end{eqnarray*}
\end{solution}
\part $D = 4 x ( -2 x + 9 )$
\begin{solution}
\begin{eqnarray*}
D & = & 4 x ( -2 x + 9 ) \\
D & = & 4 \times ( -2 ) x^{ 2 } + 4 \times 9 x \\
D & = & - 8 x^{ 2 } + 36 x
\end{eqnarray*}
\end{solution}
\part $E = -7 ( -9 x + 6 ) + 2$
\begin{solution}
\begin{eqnarray*}
E & = & -7 ( -9 x + 6 ) + 2 \\
E & = & -7 \times ( -9 ) x - 7 \times 6 + 2 \\
E & = & 63 x - 42 + 2 \\
E & = & 63 x - 40
\end{eqnarray*}
\end{solution}
\part $F = -4 x ( -1 x + 3 ) + 3$
\begin{solution}
\begin{eqnarray*}
F & = & -4 x ( -1 x + 3 ) + 3 \\
F & = & - 4 x ( - x + 3 ) + 3 \\
F & = & -4 \times ( -1 ) x^{ 2 } - 4 \times 3 x + 3 \\
F & = & 4 x^{ 2 } - 12 x + 3
\end{eqnarray*}
\end{solution}
\end{parts}
\question
Developper et reduire les expressions suivantes.
\begin{parts}
\part $A = ( 1 x - 9 ) ( 1 x + 7 )$
\begin{solution}
\begin{eqnarray*}
A & = & ( 1 x - 9 ) ( 1 x + 7 ) \\
A & = & ( x - 9 ) ( x + 7 ) \\
A & = & x^{ 2 } + ( -9 + 7 ) x - 9 \times 7 \\
A & = & x^{ 2 } - 2 x - 63
\end{eqnarray*}
\end{solution}
\part $B = ( 4 x + 5 ) ( 10 x - 2 )$
\begin{solution}
\begin{eqnarray*}
B & = & ( 4 x + 5 ) ( 10 x - 2 ) \\
B & = & 4 \times 10 x^{ 2 } + ( 5 \times 10 + 4 \times ( -2 ) ) x + 5 \times ( -2 ) \\
B & = & 40 x^{ 2 } + ( 50 - 8 ) x - 10 \\
B & = & 40 x^{ 2 } + 42 x - 10
\end{eqnarray*}
\end{solution}
\part $C = ( -6 x - 9 ) ( -10 x - 7 )$
\begin{solution}
\begin{eqnarray*}
C & = & ( -6 x - 9 ) ( -10 x - 7 ) \\
C & = & -6 \times ( -10 ) x^{ 2 } + ( -9 \times ( -10 ) - 6 \times ( -7 ) ) x - 9 \times ( -7 ) \\
C & = & 60 x^{ 2 } + ( 90 + 42 ) x + 63 \\
C & = & 60 x^{ 2 } + 132 x + 63
\end{eqnarray*}
\end{solution}
\part $D = ( -5 x + 2 ) ( -8 x + 6 )$
\begin{solution}
\begin{eqnarray*}
D & = & ( -5 x + 2 ) ( -8 x + 6 ) \\
D & = & -5 \times ( -8 ) x^{ 2 } + ( 2 \times ( -8 ) - 5 \times 6 ) x + 2 \times 6 \\
D & = & 40 x^{ 2 } + ( -16 - 30 ) x + 12 \\
D & = & 40 x^{ 2 } - 46 x + 12
\end{eqnarray*}
\end{solution}
\part $E = ( -6 x + 2 ) ( 2 x + 5 )$
\begin{solution}
\begin{eqnarray*}
E & = & ( -6 x + 2 ) ( 2 x + 5 ) \\
E & = & -6 \times 2 x^{ 2 } + ( 2 \times 2 - 6 \times 5 ) x + 2 \times 5 \\
E & = & - 12 x^{ 2 } + ( 4 - 30 ) x + 10 \\
E & = & - 12 x^{ 2 } - 26 x + 10
\end{eqnarray*}
\end{solution}
\part $F = ( 1 x - 4 ) ( 9 x + 10 )$
\begin{solution}
\begin{eqnarray*}
F & = & ( 1 x - 4 ) ( 9 x + 10 ) \\
F & = & ( x - 4 ) ( 9 x + 10 ) \\
F & = & 9 x^{ 2 } + ( -4 \times 9 + 10 ) x - 4 \times 10 \\
F & = & 9 x^{ 2 } + ( -36 + 10 ) x - 40 \\
F & = & 9 x^{ 2 } - 26 x - 40
\end{eqnarray*}
\end{solution}
\end{parts}
\question
Developper et reduire les expressions suivantes.
\begin{parts}
\part $A = ( 3 x + 4 )^{ 2 }$
\begin{solution}
\begin{eqnarray*}
A & = & ( 3 x + 4 )^{ 2 } \\
A & = & ( 3 x + 4 ) ( 3 x + 4 ) \\
A & = & 3 \times 3 x^{ 2 } + ( 4 \times 3 + 3 \times 4 ) x + 4 \times 4 \\
A & = & 9 x^{ 2 } + ( 12 + 12 ) x + 16 \\
A & = & 9 x^{ 2 } + 24 x + 16
\end{eqnarray*}
\end{solution}
\part $B = ( 10 x + 8 )^{ 2 }$
\begin{solution}
\begin{eqnarray*}
B & = & ( 10 x + 8 )^{ 2 } \\
B & = & ( 10 x + 8 ) ( 10 x + 8 ) \\
B & = & 10 \times 10 x^{ 2 } + ( 8 \times 10 + 10 \times 8 ) x + 8 \times 8 \\
B & = & 100 x^{ 2 } + ( 80 + 80 ) x + 64 \\
B & = & 100 x^{ 2 } + 160 x + 64
\end{eqnarray*}
\end{solution}
\part $C = ( 6 x - 6 )^{ 2 }$
\begin{solution}
\begin{eqnarray*}
C & = & ( 6 x - 6 )^{ 2 } \\
C & = & ( 6 x - 6 ) ( 6 x - 6 ) \\
C & = & 6 \times 6 x^{ 2 } + ( -6 \times 6 + 6 \times ( -6 ) ) x - 6 \times ( -6 ) \\
C & = & 36 x^{ 2 } + ( -36 - 36 ) x + 36 \\
C & = & 36 x^{ 2 } - 72 x + 36
\end{eqnarray*}
\end{solution}
\part $D = ( 9 x - 10 )^{ 2 }$
\begin{solution}
\begin{eqnarray*}
D & = & ( 9 x - 10 )^{ 2 } \\
D & = & ( 9 x - 10 ) ( 9 x - 10 ) \\
D & = & 9 \times 9 x^{ 2 } + ( -10 \times 9 + 9 \times ( -10 ) ) x - 10 \times ( -10 ) \\
D & = & 81 x^{ 2 } + ( -90 - 90 ) x + 100 \\
D & = & 81 x^{ 2 } - 180 x + 100
\end{eqnarray*}
\end{solution}
\part $E = ( 2 x + 6 ) ( 2 x - 6 )$
\begin{solution}
\begin{eqnarray*}
E & = & ( 2 x + 6 ) ( 2 x - 6 ) \\
E & = & 2 \times 2 x^{ 2 } + ( 6 \times 2 + 2 \times ( -6 ) ) x + 6 \times ( -6 ) \\
E & = & 4 x^{ 2 } + ( 12 - 12 ) x - 36 \\
E & = & 4 x^{ 2 } - 36
\end{eqnarray*}
\end{solution}
\part $F = ( 8 x + 10 ) ( 8 x - 10 )$
\begin{solution}
\begin{eqnarray*}
F & = & ( 8 x + 10 ) ( 8 x - 10 ) \\
F & = & 8 \times 8 x^{ 2 } + ( 10 \times 8 + 8 \times ( -10 ) ) x + 10 \times ( -10 ) \\
F & = & 64 x^{ 2 } + ( 80 - 80 ) x - 100 \\
F & = & 64 x^{ 2 } - 100
\end{eqnarray*}
\end{solution}
\part $G = ( 9 x + 7 )^{ 2 }$
\begin{solution}
\begin{eqnarray*}
G & = & ( 9 x + 7 )^{ 2 } \\
G & = & ( 9 x + 7 ) ( 9 x + 7 ) \\
G & = & 9 \times 9 x^{ 2 } + ( 7 \times 9 + 9 \times 7 ) x + 7 \times 7 \\
G & = & 81 x^{ 2 } + ( 63 + 63 ) x + 49 \\
G & = & 81 x^{ 2 } + 126 x + 49
\end{eqnarray*}
\end{solution}
\part $H = ( 4 x - 10 )^{ 2 }$
\begin{solution}
\begin{eqnarray*}
H & = & ( 4 x - 10 )^{ 2 } \\
H & = & ( 4 x - 10 ) ( 4 x - 10 ) \\
H & = & 4 \times 4 x^{ 2 } + ( -10 \times 4 + 4 \times ( -10 ) ) x - 10 \times ( -10 ) \\
H & = & 16 x^{ 2 } + ( -40 - 40 ) x + 100 \\
H & = & 16 x^{ 2 } - 80 x + 100
\end{eqnarray*}
\end{solution}
\end{parts}
\end{questions}
\end{document}
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\documentclass[a5paper,12pt, table]{/media/documents/Cours/Prof/Enseignements/tools/style/classDS}
\usepackage{/media/documents/Cours/Prof/Enseignements/2015_2016}
%\geometry{left=10mm,right=10mm, top=10mm, bottom=10mm}
% Title Page
\titre{1}
% \seconde \premiereS \PSTMG \TSTMG
\classe{Troisième}
\date{Mercredi 9 décembre 2015}
%\duree{1 heure}
\sujet{\Var{infos.num}}
% DS DSCorr DM DMCorr Corr
\typedoc{DM}
\geometry{left=10mm,right=10mm, bottom= 10mm, top=10mm}
%\printanswers
\begin{document}
\begin{questions}
\question
Reduire les expressions suivantes.
\begin{multicols}{2}
\begin{parts}
\Block{set e = Expression.random("{a}x + {b}x + {c} + {d}x", val_min= 2)}
\part $A = \Var{e}$
\begin{solution}
\begin{eqnarray*}
\Var{e.simplify().explain() | calculus(name = "A")}
\end{eqnarray*}
\end{solution}
\Block{set e = Expression.random("{a} + {b}x + {c} + {d}x + {e}", val_min= 2)}
\part $B = \Var{e}$
\begin{solution}
\begin{eqnarray*}
\Var{e.simplify().explain() | calculus(name = "B")}
\end{eqnarray*}
\end{solution}
\Block{set e = Expression.random("{a}x + {b}x + {c} + {d}x")}
\part $C = \Var{e}$
\begin{solution}
\begin{eqnarray*}
\Var{e.simplify().explain() | calculus(name = "C")}
\end{eqnarray*}
\end{solution}
\Block{set e = Expression.random("{a} + {b}x + {c} + {d}x + {e}")}
\part $D = \Var{e}$
\begin{solution}
\begin{eqnarray*}
\Var{e.simplify().explain() | calculus(name = "D")}
\end{eqnarray*}
\end{solution}
\Block{set e = Expression.random("{a}x*{e} + {b} + {c}", val_min= 2)}
\part $E = \Var{e}$
\begin{solution}
\begin{eqnarray*}
\Var{e.simplify().explain() | calculus(name = "E")}
\end{eqnarray*}
\end{solution}
\Block{set e = Expression.random("{a}x*{b}x + {c} + {d}x + {e}", val_min= 2)}
\part $F = \Var{e}$
\begin{solution}
\begin{eqnarray*}
\Var{e.simplify().explain() | calculus(name = "F")}
\end{eqnarray*}
\end{solution}
\Block{set e = Expression.random("{a}x*{e} + {b}*{e} + {c}")}
\part $G = \Var{e}$
\begin{solution}
\begin{eqnarray*}
\Var{e.simplify().explain() | calculus(name = "G")}
\end{eqnarray*}
\end{solution}
\Block{set e = Expression.random("{a}x*{b}x + {c} + {d}x + {e}*{e}", val_min= 2)}
\part $H = \Var{e}$
\begin{solution}
\begin{eqnarray*}
\Var{e.simplify().explain() | calculus(name = "H")}
\end{eqnarray*}
\end{solution}
\end{parts}
\end{multicols}
\question
Developper et reduire les expressions suivantes.
\begin{multicols}{2}
\begin{parts}
\Block{set e = Expression.random("{a}({b}x + {c})")}
\part $A = \Var{e}$
\begin{solution}
\begin{eqnarray*}
\Var{e.simplify().explain() | calculus(name = "A")}
\end{eqnarray*}
\end{solution}
\Block{set e = Expression.random("{a}({b}x + {c})")}
\part $B = \Var{e}$
\begin{solution}
\begin{eqnarray*}
\Var{e.simplify().explain() | calculus(name = "B")}
\end{eqnarray*}
\end{solution}
\Block{set e = Expression.random("{a}x({b}x + {c})")}
\part $C = \Var{e}$
\begin{solution}
\begin{eqnarray*}
\Var{e.simplify().explain() | calculus(name = "C")}
\end{eqnarray*}
\end{solution}
\Block{set e = Expression.random("{a}x({b}x + {c})")}
\part $D = \Var{e}$
\begin{solution}
\begin{eqnarray*}
\Var{e.simplify().explain() | calculus(name = "D")}
\end{eqnarray*}
\end{solution}
\Block{set e = Expression.random("{a}({b}x + {c}) + {e}")}
\part $E = \Var{e}$
\begin{solution}
\begin{eqnarray*}
\Var{e.simplify().explain() | calculus(name = "E")}
\end{eqnarray*}
\end{solution}
\Block{set e = Expression.random("{a}x({b}x + {c}) + {e}")}
\part $F = \Var{e}$
\begin{solution}
\begin{eqnarray*}
\Var{e.simplify().explain() | calculus(name = "F")}
\end{eqnarray*}
\end{solution}
\end{parts}
\end{multicols}
\question
Developper et reduire les expressions suivantes.
\begin{multicols}{2}
\begin{parts}
\Block{set e = Expression.random("({a}x + {d})({b}x + {c})")}
\part $A = \Var{e}$
\begin{solution}
\begin{eqnarray*}
\Var{e.simplify().explain() | calculus(name = "A")}
\end{eqnarray*}
\end{solution}
\Block{set e = Expression.random("({a}x + {d})({b}x + {c})")}
\part $B = \Var{e}$
\begin{solution}
\begin{eqnarray*}
\Var{e.simplify().explain() | calculus(name = "B")}
\end{eqnarray*}
\end{solution}
\Block{set e = Expression.random("({a}x + {d})({b}x + {c})")}
\part $C = \Var{e}$
\begin{solution}
\begin{eqnarray*}
\Var{e.simplify().explain() | calculus(name = "C")}
\end{eqnarray*}
\end{solution}
\Block{set e = Expression.random("({a}x + {d})({b}x + {c})")}
\part $D = \Var{e}$
\begin{solution}
\begin{eqnarray*}
\Var{e.simplify().explain() | calculus(name = "D")}
\end{eqnarray*}
\end{solution}
\Block{set e = Expression.random("({a}x + {d})({b}x + {c})")}
\part $E = \Var{e}$
\begin{solution}
\begin{eqnarray*}
\Var{e.simplify().explain() | calculus(name = "E")}
\end{eqnarray*}
\end{solution}
\Block{set e = Expression.random("({a}x + {d})({b}x + {c})")}
\part $F = \Var{e}$
\begin{solution}
\begin{eqnarray*}
\Var{e.simplify().explain() | calculus(name = "F")}
\end{eqnarray*}
\end{solution}
\end{parts}
\end{multicols}
\question
Developper et reduire les expressions suivantes.
\begin{multicols}{2}
\begin{parts}
\Block{set e = Expression.random("({a}x + {d})^2", val_min = 2)}
\part $A = \Var{e}$
\begin{solution}
\begin{eqnarray*}
\Var{e.simplify().explain() | calculus(name = "A")}
\end{eqnarray*}
\end{solution}
\Block{set e = Expression.random("({a}x + {d})^2", val_min = 2)}
\part $B = \Var{e}$
\begin{solution}
\begin{eqnarray*}
\Var{e.simplify().explain() | calculus(name = "B")}
\end{eqnarray*}
\end{solution}
\Block{set e = Expression.random("({a}x - {d})^2", val_min = 2)}
\part $C = \Var{e}$
\begin{solution}
\begin{eqnarray*}
\Var{e.simplify().explain() | calculus(name = "C")}
\end{eqnarray*}
\end{solution}
\Block{set e = Expression.random("({a}x - {d})^2", val_min = 2)}
\part $D = \Var{e}$
\begin{solution}
\begin{eqnarray*}
\Var{e.simplify().explain() | calculus(name = "D")}
\end{eqnarray*}
\end{solution}
\Block{set e = Expression.random("({a}x + {d})({a}x - {d})", val_min = 2)}
\part $E = \Var{e}$
\begin{solution}
\begin{eqnarray*}
\Var{e.simplify().explain() | calculus(name = "E")}
\end{eqnarray*}
\end{solution}
\Block{set e = Expression.random("({a}x + {d})({a}x - {d})", val_min = 2)}
\part $F = \Var{e}$
\begin{solution}
\begin{eqnarray*}
\Var{e.simplify().explain() | calculus(name = "F")}
\end{eqnarray*}
\end{solution}
\Block{set e = Expression.random("({a}x + {d})^2", val_min = 2)}
\part $G = \Var{e}$
\begin{solution}
\begin{eqnarray*}
\Var{e.simplify().explain() | calculus(name = "G")}
\end{eqnarray*}
\end{solution}
\Block{set e = Expression.random("({a}x - {d})^2", val_min = 2)}
\part $H = \Var{e}$
\begin{solution}
\begin{eqnarray*}
\Var{e.simplify().explain() | calculus(name = "H")}
\end{eqnarray*}
\end{solution}
\end{parts}
\end{multicols}
\end{questions}
\end{document}
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