Auto-Math
Calculez \(\dfrac{a-b}{b}-\dfrac{a+b}{2b}-1\).
\(\dfrac{a-3b-1}{2b}\)
\(\dfrac{ab-b^2-a-3b}{2b}\)
\(\dfrac{a-3b}{2b}\)
\(\dfrac{a-5b}{2b}\)
Calculez \(\dfrac{3x+3y}{x^2-y^2}+\dfrac{7x-7y}{x^2-2xy+y^2}\).
\(\dfrac{10}{x-y}\)
\(\dfrac{10}{x+y}\)
\(\dfrac{10x-4y}{(x-y)^2}\)
\(\dfrac{10x-4y}{(x-y)^2(x+y)}\)
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 \(\left(\dfrac{x-y}{x+y}\right)/\left(\dfrac{x^2-y^2}{x^2+2xy+y^2}\right)\).
\(\dfrac{x+y}{x-y}\)
\(\left( \dfrac{x-y}{x+y}\right)^2\)
1
\(-1\)
Simplifiez l'expression \(\dfrac{\sqrt[3]{5}}{\sqrt{5a}}\cdot\dfrac{a\sqrt{30}}{\sqrt[3]{60a^2}}\).
\(\dfrac{\sqrt[6]{6}}{\sqrt[6]{a}\sqrt[3]{2}}\)
\(\dfrac{1}{\sqrt[5]{a^2}\sqrt[3]{2}}\)
\(\sqrt[3]{2a}\)
impossible
Le double du carré de l'opposé de 0,4 est
-0,32
-0,64
0,64
0,32
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 \(\left(\dfrac{1}{x}+\dfrac{1}{y}\right)/\left(\dfrac{1}{x^2}-\dfrac{1}{y^2}\right)\).
\(\dfrac{1}{y-x}\)
\(\dfrac{x^2y+x^3-y^3-xy^2}{xy}\)
\(x-y\)
\(\dfrac{xy}{y-x}\)
Calculez \(\dfrac{3}{4}-\left(\dfrac{1}{4}-\left(\dfrac{2}{3}-\dfrac{3}{4}\right)\right)\)
\(\dfrac{1}{12}\)
\(\dfrac{11}{12}\)
\(\dfrac{5}{12}\)
\(\dfrac{7}{12}\)
Simplifiez l'expression \(\displaystyle{ \frac{(2a^2bx)(-3a^3b^2x^3)}{12a^5bx^2}}\).
\(-\dfrac{abx}{2}\)
\(-\dfrac{x^2}{3}\)
\(\dfrac{2-3abx^2}{12a^3x}\)
\(-\dfrac{b^2x^2}{2}\)
