Auto-Math
Calculez \(\dfrac{a-b}{b}-\dfrac{a+b}{2b}-1\).
\(\dfrac{a-3b-1}{2b}\)
\(\dfrac{ab-b^2-a-3b}{2b}\)
\(\dfrac{a-3b}{2b}\)
\(\dfrac{a-5b}{2b}\)
Ecrivez l'expression \(\displaystyle{\frac{1}{5\sqrt[3]{25}}}\) sous forme de puissance.
\(5^{-5/3}\)
\(5^{-10/3}\)
\(5^{3/5}\)
impossible
Calculez \(\dfrac{3-\frac{2}{3}}{5+\frac{5}{6}}\).
\(\dfrac{2}{5}\)
\(\dfrac{245}{18}\)
\(\dfrac{1}{5}\)
\(-\dfrac{7}{20}\)
Calculez \(3\left(\dfrac{2}{3}\left(\dfrac{3}{4}-\dfrac{1}{8}\right)-1\right)+\dfrac{5}{6}\).
\(\dfrac{29}{24}\)
\(\dfrac{1}{12}\)
\(-\dfrac{11}{12}\)
\(-\dfrac{5}{3}\)
Simplifiez l'expression \(\displaystyle{ \left( \frac{7a^3bx^2}{18ax^3}\right) / \left(\frac{21a^2bx}{-4ab^2x^2} \right)}\).
\(-\dfrac{49a^3}{24x^2}\)
\(-\dfrac{2ab^2}{27}\)
\(-\dfrac{4ab}{27}\)
\(-\dfrac{2abx^2}{27}\)
Résolvez l'équation \(|x+3|=|2x+1|\).
\(2\mbox{ et }-\frac{4}{3}\)
\(2\)
\(\frac{4}{3}\)
\(\emptyset\)
Simplifiez l'expression \(\sqrt[4]{a^4+a^4b}\).
\(a(1+\sqrt[4]{b})\)
\(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)
\(a\sqrt[4]{1+b}\)
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
\(-1\)
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 \(\dfrac{3x+3y}{x^2-y^2}+\dfrac{7x-7y}{x^2-2xy+y^2}\).
\(\dfrac{10}{x-y}\)
\(\dfrac{10}{x+y}\)
\(\dfrac{10x-4y}{(x-y)^2}\)
\(\dfrac{10x-4y}{(x-y)^2(x+y)}\)
