mono_poly.md

@@ -263,7 +263,7 @@ Réduire et ordonner les expressions algébriques ci-dessous.
 4. $\quad \dfrac{4x^3y^2z}{3xy} \cdot \dfrac{6xyz^2}{8x^2z} \cdot \dfrac{9x^2y}{2yz^2} = \dfrac{4 \cdot 6 \cdot 9 \cdot x^{3+1+2} \cdot y^{2+1+1} \cdot z^{1+2-2}}{3 \cdot 8 \cdot 2 \cdot x^{1+2} \cdot y^{1+1} \cdot z^{1+2}} = \dfrac{216x^6y^4z}{48x^3y^2z^3} = \dfrac{216x^3y^2}{48z^2} = \boxed{\dfrac{9x^3y^2}{2z^2}}$
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 5. $\quad 2x^3y - 3x^2y^2 + xy^3 - x^3y + 2x^2y^2 - 3xy^3 + 5x^3y - xy^3$
-   $= (2-1+5)x^3y + (-3+2)x^2y^2 + (1-3-1)xy^3 = \boxe{6x^3y - x^2y^2 - 3xy^3}$
+   $= (2-1+5)x^3y + (-3+2)x^2y^2 + (1-3-1)xy^3 = \boxed{6x^3y - x^2y^2 - 3xy^3}$
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 6. $\quad \dfrac{3m^2n}{2} + \dfrac{4mn^2}{3} - \dfrac{2m^3}{5} + \dfrac{5m^2n}{4} - \dfrac{8mn^2}{6} + \dfrac{m^3}{10}$
    $= m^2n\left(\dfrac{3}{2} + \dfrac{5}{4}\right) + mn^2\left(\dfrac{4}{3} - \dfrac{8}{6}\right) + m^3\left(-\dfrac{2}{5} + \dfrac{1}{10}\right)$