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Calculez \(\displaystyle{\frac{\frac{6}{x}+3}{\frac{5}{x}-\frac{2}{x}}}\).
\(3\)
\(2+x\)
\(\dfrac{3x}{x+1}\)
\(0\)
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 \(\dfrac{3-\frac{2}{3}}{5+\frac{5}{6}}\).
\(\dfrac{2}{5}\)
\(\dfrac{245}{18}\)
\(\dfrac{1}{5}\)
\(-\dfrac{7}{20}\)
Calculez \(\dfrac{\sqrt[4]{4a^4}}{\sqrt[3]{2a}}\).
\(\sqrt[5]{2}\sqrt[3]{a^2}\)
\(\sqrt[3]{\frac{a^2}{2}}\)
\(\sqrt[6]{2}\sqrt[3]{a^2}\)
\(\sqrt{2}a\)
Calculez \(\left(\dfrac{5}{16}\left(\dfrac{3}{10}+\dfrac{1}{2}\right)-\dfrac{1}{8}\right)\left(-\dfrac{5}{2}\right)\).
\(-\dfrac{5}{2}\)
\(-\dfrac{5}{16}\)
\(-\dfrac{19}{8}\)
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
\(-1\)
Si \(a=0,2\), \(b=-0,1\) et \(c=-0,5\), calculez \((\frac{a}{b}+\frac{b}{c})\cdot \frac{c}{a}\).
\(\dfrac{9}{2}\)
\(-\dfrac{4}{3}\)
\(0,03\)
\(-5\)
Calculez \(\left(\dfrac{9}{-16}-\dfrac{-9}{16}\right)-\left(\dfrac{53}{24}-\dfrac{73}{36}\right)\).
\(-\dfrac{13}{72}\)
\(-\dfrac{5}{3}\)
\(\dfrac{5}{18}\)
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 \(\dfrac{\sqrt{6}}{2\sqrt{3}-5\sqrt{2}}\).
\(2\sqrt{3}+\dfrac{15\sqrt{2}}{2}\)
\(-\dfrac{1}{19}(3\sqrt{2}+5\sqrt{3})\)
\(-\dfrac{3}{2}\)
\(\dfrac{3\sqrt{2}}{11}+\dfrac{5\sqrt{3}}{11}\)
