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Calculez \(\displaystyle{\frac{\frac{6}{x}+3}{\frac{5}{x}-\frac{2}{x}}}\).
\(3\)
\(2+x\)
\(\dfrac{3x}{x+1}\)
\(0\)
Calculez \(\dfrac{3}{4}-\left(\dfrac{1}{4}-\left(\dfrac{2}{3}-\dfrac{3}{4}\right)\right)\)
\(\dfrac{1}{12}\)
\(\dfrac{11}{12}\)
\(\dfrac{5}{12}\)
\(\dfrac{7}{12}\)
Simplifiez la fraction \(\dfrac{3x^2-xy}{6xy-2y^2}\).
impossible
\(\dfrac{x}{2y(1-y)}-\dfrac{1}{2(3-y^2)}\)
\(\dfrac{x}{2y}\)
\(\dfrac{x^2}{2-2y^2}\)
Calculez \(\dfrac{a\sqrt{b}+b\sqrt{a}}{\sqrt{ab}}\).
\(a-b\)
\(a+b\)
\(\sqrt{a}+\sqrt{b}\)
\(\frac{1}{\sqrt{b}}+\frac{1}{\sqrt{a}}\)
Calculez \(\sqrt[8]{a^6}\sqrt[12]{a^5}\sqrt[6]{a}\).
\(\sqrt[4]{a^3}\)
\(\sqrt[3]{a^4}\)
\(a^{39/10}\)
\(a^{5/96}\)
Simplifiez l'expression \(\left( \dfrac{a^2b^3c^{-2}}{a^3b^2c}\right) ^{-1}\).
\(\dfrac{ac^3}{b}\)
\(\dfrac{b}{ac^3}\)
\(\dfrac{c}{a^5b^5}\)
\(\dfrac{c^3}{a^5b^5}\)
Calculez \(\dfrac{3-\frac{2}{3}}{5+\frac{5}{6}}\).
\(\dfrac{2}{5}\)
\(\dfrac{245}{18}\)
\(\dfrac{1}{5}\)
\(-\dfrac{7}{20}\)
Simplifiez l'expression \(\displaystyle{ \left( \frac{7a^3bx^2}{18ax^3}\right) / \left(\frac{21a^2bx}{-4ab^2x^2} \right)}\).
\(-\dfrac{49a^3}{24x^2}\)
\(-\dfrac{2ab^2}{27}\)
\(-\dfrac{4ab}{27}\)
\(-\dfrac{2abx^2}{27}\)
Calculez \(\dfrac{1}{2}\left(\dfrac{2}{3}-\dfrac{4}{5}\right)-\dfrac{3}{4}\left(2-\dfrac{1}{3}\right)\).
\(-\dfrac{61}{60}\)
\(-\dfrac{79}{60}\)
\(-\dfrac{19}{60}\)
\(-\dfrac{23}{10}\)
Le carré de l'opposé du double de 0,4 est
\(-0,64\)
\(0,64\)
\(0,16\)
\(-0,32\)