Auto-Math
Calculez \(\dfrac{a\sqrt{b}+b\sqrt{a}}{\sqrt{ab}}\).
\(a-b\)
\(a+b\)
\(\sqrt{a}+\sqrt{b}\)
\(\frac{1}{\sqrt{b}}+\frac{1}{\sqrt{a}}\)
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 \(\left(\dfrac{1}{a}+1\right)/(1-a^2)\).
\(\dfrac{1}{1-a}\)
\(\dfrac{(1-a)(1+a)^2}{a}\)
\(\dfrac{1}{a(1-a)}\)
\(\dfrac{2}{a(1-a^2)}\)
Calculez \(\dfrac{\sqrt{14}+\sqrt{15}}{\sqrt{7}-\sqrt{5}}\).
\(\dfrac{29}{2}\)
\(\dfrac{7\sqrt{2}+\sqrt{70}+\sqrt{105}+5\sqrt{3}}{12}\)
\(\dfrac{7\sqrt{2}+\sqrt{70}+\sqrt{105}+5\sqrt{3}}{2}\)
\(\dfrac{\sqrt{21}+\sqrt{19}+\sqrt{22}+\sqrt{20}}{2}\)
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 \(\dfrac{1}{2}\left(\dfrac{2}{3}-\dfrac{4}{5}\right)-\dfrac{3}{4}\left(2-\dfrac{1}{3}\right)\).
\(-\dfrac{61}{60}\)
\(-\dfrac{79}{60}\)
\(-\dfrac{19}{60}\)
\(-\dfrac{23}{10}\)
Calculez \(\dfrac{3}{4}-\left(\dfrac{1}{4}-\left(\dfrac{2}{3}-\dfrac{3}{4}\right)\right)\)
\(\dfrac{1}{12}\)
\(\dfrac{11}{12}\)
\(\dfrac{5}{12}\)
\(\dfrac{7}{12}\)
Si \(a=0,2\), \(b=-0,1\) et \(c=-0,5\), calculez \((\frac{a+c}{b})/(\frac{a}{b}+c)\).
\(1\)
\(-\dfrac{6}{5}\)
\(-\dfrac{3}{7}\)
\(\dfrac{1}{7}\)
Si \(a=0,2\), \(b=-0,1\) et \(c=-0,5\), calculez \((\frac{a}{b}+\frac{b}{c})\cdot \frac{c}{a}\).
\(\dfrac{9}{2}\)
\(-\dfrac{4}{3}\)
\(0,03\)
\(-5\)
Si \(a=0,2\), \(b=-0,1\), \(c=-0,5\) et \(d=2\) Calculez \(c(a+b)^2+d^2\).
\(3,5\)
\(3,975\)
\(3,995\)
\(4,005\)
