Auto-Math
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 \(\dfrac{3x+3y}{x^2-y^2}+\dfrac{7x-7y}{x^2-2xy+y^2}\).
\(\dfrac{10}{x-y}\)
\(\dfrac{10}{x+y}\)
\(\dfrac{10x-4y}{(x-y)^2}\)
\(\dfrac{10x-4y}{(x-y)^2(x+y)}\)
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 \(\dfrac{\sqrt[3]{5}}{\sqrt{5a}}\cdot\dfrac{a\sqrt{30}}{\sqrt[3]{60a^2}}\).
\(\dfrac{\sqrt[6]{6}}{\sqrt[6]{a}\sqrt[3]{2}}\)
\(\dfrac{1}{\sqrt[5]{a^2}\sqrt[3]{2}}\)
\(\sqrt[3]{2a}\)
impossible
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 \(\dfrac{a-b}{b}-\dfrac{a+b}{2b}-1\).
\(\dfrac{a-3b-1}{2b}\)
\(\dfrac{ab-b^2-a-3b}{2b}\)
\(\dfrac{a-3b}{2b}\)
\(\dfrac{a-5b}{2b}\)
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 \(\left( \dfrac{a^2b^3c^{-2}}{a^3b^2c}\right) ^{-1}\).
\(\dfrac{ac^3}{b}\)
\(\dfrac{b}{ac^3}\)
\(\dfrac{c}{a^5b^5}\)
\(\dfrac{c^3}{a^5b^5}\)
Si \(a=0,2\), \(b=-0,1\), \(c=-0,5\) et \(d=2\) Calculez \(c(a+b)^2+d^2\).
\(3,5\)
\(3,975\)
\(3,995\)
\(4,005\)
