282 lines
8.7 KiB
TeX
282 lines
8.7 KiB
TeX
\documentclass[a5paper,12pt, table]{/media/documents/Cours/Prof/Enseignements/tools/style/classDS}
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\usepackage{/media/documents/Cours/Prof/Enseignements/2015_2016}
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%\geometry{left=10mm,right=10mm, top=10mm, bottom=10mm}
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% Title Page
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\titre{1}
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% \seconde \premiereS \PSTMG \TSTMG
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\classe{Troisième}
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\date{Mercredi 9 décembre 2015}
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%\duree{1 heure}
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\sujet{\Var{infos.num}}
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% DS DSCorr DM DMCorr Corr
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\typedoc{DM}
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\geometry{left=10mm,right=10mm, bottom= 10mm, top=10mm}
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%\printanswers
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\begin{document}
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\begin{questions}
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\question
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Reduire les expressions suivantes.
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\begin{multicols}{2}
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\begin{parts}
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\Block{set e = Expression.random("{a}x + {b}x + {c} + {d}x", val_min= 2)}
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\part $A = \Var{e}$
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\begin{solution}
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\begin{eqnarray*}
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\Var{e.simplify().explain() | calculus(name = "A")}
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\end{eqnarray*}
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\end{solution}
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\Block{set e = Expression.random("{a} + {b}x + {c} + {d}x + {e}", val_min= 2)}
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\part $B = \Var{e}$
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\begin{solution}
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\begin{eqnarray*}
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\Var{e.simplify().explain() | calculus(name = "B")}
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\end{eqnarray*}
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\end{solution}
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\Block{set e = Expression.random("{a}x + {b}x + {c} + {d}x")}
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\part $C = \Var{e}$
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\begin{solution}
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\begin{eqnarray*}
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\Var{e.simplify().explain() | calculus(name = "C")}
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\end{eqnarray*}
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\end{solution}
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\Block{set e = Expression.random("{a} + {b}x + {c} + {d}x + {e}")}
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\part $D = \Var{e}$
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\begin{solution}
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\begin{eqnarray*}
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\Var{e.simplify().explain() | calculus(name = "D")}
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\end{eqnarray*}
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\end{solution}
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\Block{set e = Expression.random("{a}x*{e} + {b} + {c}", val_min= 2)}
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\part $E = \Var{e}$
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\begin{solution}
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\begin{eqnarray*}
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\Var{e.simplify().explain() | calculus(name = "E")}
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\end{eqnarray*}
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\end{solution}
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\Block{set e = Expression.random("{a}x*{b}x + {c} + {d}x + {e}", val_min= 2)}
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\part $F = \Var{e}$
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\begin{solution}
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\begin{eqnarray*}
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\Var{e.simplify().explain() | calculus(name = "F")}
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\end{eqnarray*}
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\end{solution}
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\Block{set e = Expression.random("{a}x*{e} + {b}*{e} + {c}")}
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\part $G = \Var{e}$
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\begin{solution}
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\begin{eqnarray*}
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\Var{e.simplify().explain() | calculus(name = "G")}
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\end{eqnarray*}
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\end{solution}
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\Block{set e = Expression.random("{a}x*{b}x + {c} + {d}x + {e}*{e}", val_min= 2)}
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\part $H = \Var{e}$
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\begin{solution}
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\begin{eqnarray*}
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\Var{e.simplify().explain() | calculus(name = "H")}
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\end{eqnarray*}
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\end{solution}
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\end{parts}
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\end{multicols}
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\question
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Developper et reduire les expressions suivantes.
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\begin{multicols}{2}
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\begin{parts}
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\Block{set e = Expression.random("{a}({b}x + {c})")}
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\part $A = \Var{e}$
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\begin{solution}
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\begin{eqnarray*}
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\Var{e.simplify().explain() | calculus(name = "A")}
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\end{eqnarray*}
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\end{solution}
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\Block{set e = Expression.random("{a}({b}x + {c})")}
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\part $B = \Var{e}$
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\begin{solution}
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\begin{eqnarray*}
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\Var{e.simplify().explain() | calculus(name = "B")}
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\end{eqnarray*}
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\end{solution}
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\Block{set e = Expression.random("{a}x({b}x + {c})")}
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\part $C = \Var{e}$
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\begin{solution}
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\begin{eqnarray*}
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\Var{e.simplify().explain() | calculus(name = "C")}
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\end{eqnarray*}
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\end{solution}
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\Block{set e = Expression.random("{a}x({b}x + {c})")}
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\part $D = \Var{e}$
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\begin{solution}
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\begin{eqnarray*}
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\Var{e.simplify().explain() | calculus(name = "D")}
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\end{eqnarray*}
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\end{solution}
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\Block{set e = Expression.random("{a}({b}x + {c}) + {e}")}
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\part $E = \Var{e}$
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\begin{solution}
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\begin{eqnarray*}
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\Var{e.simplify().explain() | calculus(name = "E")}
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\end{eqnarray*}
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\end{solution}
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\Block{set e = Expression.random("{a}x({b}x + {c}) + {e}")}
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\part $F = \Var{e}$
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\begin{solution}
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\begin{eqnarray*}
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\Var{e.simplify().explain() | calculus(name = "F")}
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\end{eqnarray*}
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\end{solution}
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\end{parts}
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\end{multicols}
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\question
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Developper et reduire les expressions suivantes.
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\begin{multicols}{2}
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\begin{parts}
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\Block{set e = Expression.random("({a}x + {d})({b}x + {c})")}
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\part $A = \Var{e}$
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\begin{solution}
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\begin{eqnarray*}
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\Var{e.simplify().explain() | calculus(name = "A")}
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\end{eqnarray*}
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\end{solution}
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\Block{set e = Expression.random("({a}x + {d})({b}x + {c})")}
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\part $B = \Var{e}$
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\begin{solution}
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\begin{eqnarray*}
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\Var{e.simplify().explain() | calculus(name = "B")}
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\end{eqnarray*}
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\end{solution}
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\Block{set e = Expression.random("({a}x + {d})({b}x + {c})")}
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\part $C = \Var{e}$
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\begin{solution}
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\begin{eqnarray*}
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\Var{e.simplify().explain() | calculus(name = "C")}
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\end{eqnarray*}
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\end{solution}
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\Block{set e = Expression.random("({a}x + {d})({b}x + {c})")}
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\part $D = \Var{e}$
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\begin{solution}
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\begin{eqnarray*}
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\Var{e.simplify().explain() | calculus(name = "D")}
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\end{eqnarray*}
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\end{solution}
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\Block{set e = Expression.random("({a}x + {d})({b}x + {c})")}
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\part $E = \Var{e}$
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\begin{solution}
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\begin{eqnarray*}
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\Var{e.simplify().explain() | calculus(name = "E")}
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\end{eqnarray*}
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\end{solution}
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\Block{set e = Expression.random("({a}x + {d})({b}x + {c})")}
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\part $F = \Var{e}$
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\begin{solution}
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\begin{eqnarray*}
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\Var{e.simplify().explain() | calculus(name = "F")}
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\end{eqnarray*}
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\end{solution}
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\end{parts}
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\end{multicols}
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\question
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Developper et reduire les expressions suivantes.
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\begin{multicols}{2}
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\begin{parts}
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\Block{set e = Expression.random("({a}x + {d})^2", val_min = 2)}
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\part $A = \Var{e}$
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\begin{solution}
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\begin{eqnarray*}
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\Var{e.simplify().explain() | calculus(name = "A")}
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\end{eqnarray*}
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\end{solution}
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\Block{set e = Expression.random("({a}x + {d})^2", val_min = 2)}
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\part $B = \Var{e}$
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\begin{solution}
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\begin{eqnarray*}
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\Var{e.simplify().explain() | calculus(name = "B")}
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\end{eqnarray*}
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\end{solution}
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\Block{set e = Expression.random("({a}x - {d})^2", val_min = 2)}
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\part $C = \Var{e}$
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\begin{solution}
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\begin{eqnarray*}
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\Var{e.simplify().explain() | calculus(name = "C")}
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\end{eqnarray*}
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\end{solution}
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\Block{set e = Expression.random("({a}x - {d})^2", val_min = 2)}
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\part $D = \Var{e}$
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\begin{solution}
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\begin{eqnarray*}
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\Var{e.simplify().explain() | calculus(name = "D")}
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\end{eqnarray*}
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\end{solution}
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\Block{set e = Expression.random("({a}x + {d})({a}x - {d})", val_min = 2)}
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\part $E = \Var{e}$
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\begin{solution}
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\begin{eqnarray*}
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\Var{e.simplify().explain() | calculus(name = "E")}
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\end{eqnarray*}
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\end{solution}
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\Block{set e = Expression.random("({a}x + {d})({a}x - {d})", val_min = 2)}
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\part $F = \Var{e}$
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\begin{solution}
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\begin{eqnarray*}
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\Var{e.simplify().explain() | calculus(name = "F")}
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\end{eqnarray*}
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\end{solution}
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\Block{set e = Expression.random("({a}x + {d})^2", val_min = 2)}
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\part $G = \Var{e}$
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\begin{solution}
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\begin{eqnarray*}
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\Var{e.simplify().explain() | calculus(name = "G")}
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\end{eqnarray*}
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\end{solution}
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\Block{set e = Expression.random("({a}x - {d})^2", val_min = 2)}
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\part $H = \Var{e}$
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\begin{solution}
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\begin{eqnarray*}
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\Var{e.simplify().explain() | calculus(name = "H")}
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\end{eqnarray*}
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\end{solution}
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\end{parts}
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\end{multicols}
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\end{questions}
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\end{document}
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%%% Local Variables:
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%%% mode: latex
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%%% TeX-master: "master"
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%%% End:
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