Source Latex
sujet du devoir
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pdfauthor={Yoann Morel},
pdfsubject={Devoir de mathématiques de seconde},
pdftitle={Devoir de mathématiques de 2nde},
pdfkeywords={calcul algébrique, fractions, développer, factoriser, identités remarquables}
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\lfoot{Y. Morel - \href{https://xymaths.fr/Lycee/2nde/Mathematiques-2nde.php}{xymaths - 2nde}}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{document}
\vspace*{-1.4cm}
\vspace{-.5em}
\qquad{\bf\Large{Devoir de math\'ematiques}}
\vspace{-.8cm}
\bgex
Exprimer sous forme de fraction irr\'eductible: \quad
$a=\dfrac{\dfrac{3}{7}-\dfrac{2}{5}}{\dfrac{3}{5}}
\hspace{1cm}
b=2-5\lp\dfrac{7}{5}-1\rp^2$
\enex
\bgex
Ecrire les expressions suivantes sous la forme d'une seule fraction:
\medskip
$A(x)=\dfrac{2}{3x+4}+\dfrac{5}{6x+7}$
\ ; \qquad
$B(x)=\dfrac{3x+2}{2x-3}-1$
\ ; \qquad
$C(x)=\dfrac{1-x^2}{1-2x}-\dfrac{1+2x}{4}$
\enex
\bgex Développer les expressions suivantes: \\[.5em]
$A=2x(-3x+4)$
\qquad
$B=(x+1)(x+3)$
\qquad
$C=(2x-1)^2$
\qquad
$D=2x\lp x+\dfrac12\rp^2$
\enex
\bigskip\hrulefill\bigskip
\setcounter{nex}{0}
\vspace{-.5em}
\qquad{\bf\Large{Devoir de math\'ematiques}}
\vspace{-.8cm}
\bgex
Exprimer sous forme de fraction irr\'eductible: \quad
$a=\dfrac{\dfrac{3}{7}-\dfrac{2}{5}}{\dfrac{3}{5}}
\hspace{1cm}
b=2-5\lp\dfrac{7}{5}-1\rp^2$
\enex
\bgex
Ecrire les expressions suivantes sous la forme d'une seule fraction:
\medskip
$A(x)=\dfrac{2}{3x+4}+\dfrac{5}{6x+7}$
\ ; \qquad
$B(x)=\dfrac{3x+2}{2x-3}-1$
\ ; \qquad
$C(x)=\dfrac{1-x^2}{1-2x}-\dfrac{1+2x}{4}$
\enex
\bgex Développer les expressions suivantes: \\[.5em]
$A=2x(-3x+4)$
\qquad
$B=(x+1)(x+3)$
\qquad
$C=(2x-1)^2$
\qquad
$D=2x\lp x+\dfrac12\rp^2$
\enex
\bigskip\hrulefill\bigskip
\setcounter{nex}{0}
\vspace{-.5em}
\qquad{\bf\Large{Devoir de math\'ematiques}}
\vspace{-.8cm}
\bgex
Exprimer sous forme de fraction irr\'eductible: \quad
$a=\dfrac{\dfrac{3}{7}-\dfrac{2}{5}}{\dfrac{3}{5}}
\hspace{1cm}
b=2-5\lp\dfrac{7}{5}-1\rp^2$
\enex
\bgex
Ecrire les expressions suivantes sous la forme d'une seule fraction:
\medskip
$A(x)=\dfrac{2}{3x+4}+\dfrac{5}{6x+7}$
\ ; \qquad
$B(x)=\dfrac{3x+2}{2x-3}-1$
\ ; \qquad
$C(x)=\dfrac{1-x^2}{1-2x}-\dfrac{1+2x}{4}$
\enex
\bgex Développer les expressions suivantes: \\[.5em]
$A=2x(-3x+4)$
\qquad
$B=(x+1)(x+3)$
\qquad
$C=(2x-1)^2$
\qquad
$D=2x\lp x+\dfrac12\rp^2$
\enex
\bigskip\hrulefill\bigskip
\label{LastPage}
\end{document}
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