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Calculez \(\dfrac{a\sqrt{b}+b\sqrt{a}}{\sqrt{ab}}\).
\(a-b\)
\(a+b\)
\(\sqrt{a}+\sqrt{b}\)
\(\frac{1}{\sqrt{b}}+\frac{1}{\sqrt{a}}\)
Simplifiez l'expression \(\displaystyle{ \left( \frac{7a^3bx^2}{18ax^3}\right) / \left(\frac{21a^2bx}{-4ab^2x^2} \right)}\).
\(-\dfrac{49a^3}{24x^2}\)
\(-\dfrac{2ab^2}{27}\)
\(-\dfrac{4ab}{27}\)
\(-\dfrac{2abx^2}{27}\)
Simplifiez l'expression \(\displaystyle{\sqrt[n]{\frac{a^{2n+1}}{b^{n+1}}}}\).
\(\displaystyle{\frac{b^{n^2+n}}{a^{2n^2+n}}}\)
\(\displaystyle{\frac{a^2\sqrt[n]{a}}{b\sqrt[n]{b}}}\)
\(\displaystyle{\frac{b^{2n+1}}{a^{3n+1}}}\)
\(\displaystyle{\frac{a^2+\sqrt[n]{a}}{b+\sqrt[n]{b}}}\)
Calculez \(\left(\dfrac{x-y}{x+y}\right)/\left(\dfrac{x^2-y^2}{x^2+2xy+y^2}\right)\).
\(\dfrac{x+y}{x-y}\)
\(\left( \dfrac{x-y}{x+y}\right)^2\)
1
\(-1\)
Calculez \(\left( \dfrac{1}{2}+\dfrac{6}{7}-\dfrac{1}{14}\right) \cdot \left( \dfrac{2}{3}-\dfrac{3}{4}\right)\).
\(-\dfrac{3}{28}\)
\(-\dfrac{6}{5}\)
\(-\dfrac{1}{28}\)
\(\dfrac{3}{28}\)
Calculez \(\left(\dfrac{1}{a}+1\right)/(1-a^2)\).
\(\dfrac{1}{1-a}\)
\(\dfrac{(1-a)(1+a)^2}{a}\)
\(\dfrac{1}{a(1-a)}\)
\(\dfrac{2}{a(1-a^2)}\)
Calculez \(\left(\dfrac{5}{16}\left(\dfrac{3}{10}+\dfrac{1}{2}\right)-\dfrac{1}{8}\right)\left(-\dfrac{5}{2}\right)\).
\(-\dfrac{5}{2}\)
\(0\)
\(-\dfrac{5}{16}\)
\(-\dfrac{19}{8}\)
Si \(a=0,2\), \(b=-0,1\) et \(c=-0,5\), calculez \((\frac{a+c}{b})/(\frac{a}{b}+c)\).
\(1\)
\(-\dfrac{3}{7}\)
\(\dfrac{1}{7}\)
Calculez \(\dfrac{3}{4}-\left(\dfrac{1}{4}-\left(\dfrac{2}{3}-\dfrac{3}{4}\right)\right)\)
\(\dfrac{1}{12}\)
\(\dfrac{11}{12}\)
\(\dfrac{5}{12}\)
\(\dfrac{7}{12}\)
L'opposé du carré du double de 0,4 est
\(0,64\)
\(-0,16\)
\(-0,64\)
\(-0,32\)
