... | ... | @@ -268,7 +268,7 @@ Réduire et ordonner les expressions algébriques ci-dessous. |
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6. $\quad \dfrac{3m^2n}{2} + \dfrac{4mn^2}{3} - \dfrac{2m^3}{5} + \dfrac{5m^2n}{4} - \dfrac{8mn^2}{6} + \dfrac{m^3}{10}$
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$= m^2n\left(\dfrac{3}{2} + \dfrac{5}{4}\right) + mn^2\left(\dfrac{4}{3} - \dfrac{8}{6}\right) + m^3\left(-\dfrac{2}{5} + \dfrac{1}{10}\right)$
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$= m^2n\left(\dfrac{6+5}{4}\right) + mn^2\left(\dfrac{4-4}{3}\right) + m^3\left(\dfrac{-4+1}{10}\right)$
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$= \dfrac{11m^2n}{4} + 0 - \dfrac{3m^3}{10} = \boxed{-\dfrac{3m^3}{10} + \dfrac{11m^2n}{4}}$
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$= \dfrac{11m^2n}{4} + 0 - \dfrac{3m^3}{10} = \boxed{-\dfrac{3m^3}{10} + \dfrac{11m^2n}{4}}$ ou $\boxed{-\dfrac{3}{10}m^3 + \dfrac{11}{4}m^2n}$
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---
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7. $\quad a^2b(2ab^2) - 3ab(a^2b) + 5a^3b^2 - 2a^2b \cdot ab + 4ab \cdot a^2b$
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$= 2a^3b^3 - 3a^3b^2 + 5a^3b^2 - 2a^3b^2 + 4a^3b^2$
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