Auto-Math
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 \(\left(\dfrac{4}{-15}-\dfrac{7}{-18}\right)-\left(\dfrac{1}{15}-\dfrac{1}{9}\right)\).
\(-\dfrac{1}{18}\)
\(\dfrac{1}{9}\)
\(0\)
\(\dfrac{1}{6}\)
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 \(\left(\dfrac{1}{x}+\dfrac{1}{y}\right)/\left(\dfrac{1}{x^2}-\dfrac{1}{y^2}\right)\).
\(\dfrac{1}{y-x}\)
\(\dfrac{x^2y+x^3-y^3-xy^2}{xy}\)
\(x-y\)
\(\dfrac{xy}{y-x}\)
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 \(\dfrac{a-b}{b}-\dfrac{a+b}{2b}-1\).
\(\dfrac{a-3b-1}{2b}\)
\(\dfrac{ab-b^2-a-3b}{2b}\)
\(\dfrac{a-3b}{2b}\)
\(\dfrac{a-5b}{2b}\)
Si \(a=0,2\), \(b=-0,1\) et \(c=-0,5\), calculez \((\frac{a+c}{b})/(\frac{a}{b}+c)\).
\(1\)
\(-\dfrac{6}{5}\)
\(-\dfrac{3}{7}\)
\(\dfrac{1}{7}\)
Simplifiez l'expression \(\left( \dfrac{a^2b^3c^{-2}}{a^3b^2c}\right) ^{-1}\).
\(\dfrac{ac^3}{b}\)
\(\dfrac{b}{ac^3}\)
\(\dfrac{c}{a^5b^5}\)
\(\dfrac{c^3}{a^5b^5}\)
Simplifiez l'expression \(\sqrt[4]{a^4+a^4b}\).
\(a(1+\sqrt[4]{b})\)
\(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)
\(a\sqrt[4]{1+b}\)
impossible
Calculez \(\sqrt[8]{a^6}\sqrt[12]{a^5}\sqrt[6]{a}\).
\(\sqrt[4]{a^3}\)
\(\sqrt[3]{a^4}\)
\(a^{39/10}\)
\(a^{5/96}\)