2015-2016/3e/DM/DM_16_05_18/exo_facto.tex

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2017-06-16 06:48:54 +00:00
\begin{parts}
\part Développer les expressions suivantes
\begin{multicols}{2}
\begin{subparts}
\Block{set e = Expression.random("_*(_*x + _)")}
\subpart $A = \Var{e}$
\begin{solution}
\begin{eqnarray*}
\Var{e.simplify().explain() | calculus(name = "A")}
\end{eqnarray*}
\end{solution}
\Block{set e = Expression.random("(_*x+_)(_*x + _)", val_min = 2)}
\subpart $B = \Var{e}$
\begin{solution}
\begin{eqnarray*}
\Var{e.simplify().explain() | calculus(name = "B")}
\end{eqnarray*}
\end{solution}
\columnbreak
\Block{set e = Expression.random("(_*x + _)^2", val_min = 2)}
\subpart $C = \Var{e}$
\begin{solution}
\begin{eqnarray*}
\Var{e.simplify().explain() | calculus(name = "C")}
\end{eqnarray*}
\end{solution}
\Block{set e = Expression.random("(_*x - _)^2", val_min = 2)}
\subpart $D = \Var{e}$
\begin{solution}
\begin{eqnarray*}
\Var{e.simplify().explain() | calculus(name = "D")}
\end{eqnarray*}
\end{solution}
\end{subparts}
\end{multicols}
\part Factoriser les expressions suivantes
\begin{multicols}{2}
\begin{subparts}
\Block{set e = Expression.random("{a}x*(_*x + _)", conditions = ['{a} >= 2'])}
\subpart $A = \Var{e.simplify()}$
\begin{solution}
\begin{eqnarray*}
A = \Var{e.simplify()} = \Var{e}
\end{eqnarray*}
\end{solution}
\Block{set e = Expression.random("_x*(_*x + _)")}
\subpart $B = \Var{e.simplify()}$
\begin{solution}
\begin{eqnarray*}
B = \Var{e.simplify()} = \Var{e}
\end{eqnarray*}
\end{solution}
\columnbreak
\Block{set e = Expression.random("_x*(_*x + _)")}
\subpart $C = \Var{e.simplify()}$
\begin{solution}
\begin{eqnarray*}
C = \Var{e.simplify()} = \Var{e}
\end{eqnarray*}
\end{solution}
\Block{set e = Expression.random("(_*x + _)^2", val_min=2, val_max = 10)}
\subpart $D = \Var{e.simplify()}$
\begin{solution}
\begin{eqnarray*}
D = \Var{e.simplify()} = \Var{e}
\end{eqnarray*}
\end{solution}
\end{subparts}
\end{multicols}
\end{parts}