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Simplifiez l'expression \(\displaystyle{\frac{(14x^2y^3z^4)(-xyz)^2}{(-7x^3y^2z^4)(4xy^2z)^3}}\).
\(\dfrac{1}{32x^2y^3z}\)
\(-\dfrac{49a^3}{24x^2}\)
\(-\dfrac{4ab}{27}\)
\(-\dfrac{2abx^2}{27}\)
Résolvez l'équation \(|x+3|=|2x+1|\).
\(2\mbox{ et }-\frac{4}{3}\)
\(2\)
\(\frac{4}{3}\)
\(\emptyset\)
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 \(\left(\dfrac{5}{16}\left(\dfrac{3}{10}+\dfrac{1}{2}\right)-\dfrac{1}{8}\right)\left(-\dfrac{5}{2}\right)\).
\(-\dfrac{5}{2}\)
\(0\)
\(-\dfrac{5}{16}\)
\(-\dfrac{19}{8}\)
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 \(\dfrac{3}{4}-\left(\dfrac{1}{4}-\left(\dfrac{2}{3}-\dfrac{3}{4}\right)\right)\)
\(\dfrac{1}{12}\)
\(\dfrac{11}{12}\)
\(\dfrac{5}{12}\)
\(\dfrac{7}{12}\)
Calculez \(\dfrac{\sqrt{2}}{2-2\sqrt{2}}\).
\(-\dfrac{\sqrt{2}}{2}-1\)
\(\dfrac{\sqrt{2}}{6}+\dfrac{1}{3}\)
\(\dfrac{1}{\sqrt{2}}-\dfrac{1}{2}\)
\(-\sqrt{2}\)
Calculez \(\left(\dfrac{4}{-15}-\dfrac{7}{-18}\right)-\left(\dfrac{1}{15}-\dfrac{1}{9}\right)\).
\(-\dfrac{1}{18}\)
\(\dfrac{1}{9}\)
\(\dfrac{1}{6}\)
Simplifiez l'expression \(\displaystyle{ \frac{(2a^2bx)(-3a^3b^2x^3)}{12a^5bx^2}}\).
\(-\dfrac{abx}{2}\)
\(-\dfrac{x^2}{3}\)
\(\dfrac{2-3abx^2}{12a^3x}\)
\(-\dfrac{b^2x^2}{2}\)
Si \(a=0,2\), \(b=-0,1\), \(c=-0,5\) et \(d=2\) Calculez \(c(a+b)^2+d^2\).
\(3,5\)
\(3,975\)
\(3,995\)
\(4,005\)
