Source Latex
sujet du devoir
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pdfauthor={Yoann Morel},
pdfsubject={Devoir de mathématiques: Calcul algébrique, fractions, développement et factorisation},
pdftitle={Devoir de mathématiques},
pdfkeywords={calcul algébrique, fraction, développement, factorisation, identités remarquables, mathématiques, seconde, 2nde}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{document}
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\bgex
\'Ecrire sous la forme d'une seule fraction: \\[.5em]
$A=\dfrac{3}{x+2}-\dfrac{1}{x+1}$
\qquad
$B=\dfrac{3x}{x+2}-3$
\qquad
$C=\dfrac{1}{3x+1}-\dfrac{1}{3x-1}$
\\[.5em]
$D=3+\dfrac{\dfrac13x}{1+\dfrac{x}{3}}$
\qquad
$E=\lp2-\dfrac{5}{x+3}\rp^2$
\enex
\bgex Développer les expressions suivantes: \\[.5em]
$A=(x+1)(x+4)$
\qquad
$B=(x+2)^2$
\qquad
$C=(2x-1)^2$
\qquad
$D=3x\lp x+\dfrac13\rp^2$
\enex
\bgex Factoriser les expressions suivantes: \\[.5em]
$A=(x+2)(3x+2)-(x+2)(2x+1)$ \\[.5em]
$B=(3x+1)-(4-x)(3x+1)$ \\[.5em]
$C=(x+2)(-x+1)-(x+2)^2$
\enex
\label{LastPage}
\end{document}
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