Calcul algébrique : Test de niveau 2

Simplifiez l'expression \(\displaystyle{ \frac{(2a^2bx)(-3a^3b^2x^3)}{12a^5bx^2}}\).

Si \(a=0,2\), \(b=-0,1\) et  \(c=-0,5\), calculez \((\frac{a}{b}+\frac{b}{c})\cdot \frac{c}{a}\).

Calculez \(\displaystyle{\frac{\frac{6}{x}+3}{\frac{5}{x}-\frac{2}{x}}}\).

L'opposé du carré du double de 0,4 est

Calculez \(\left( \dfrac{1}{2}+\dfrac{6}{7}-\dfrac{1}{14}\right) \cdot \left( \dfrac{2}{3}-\dfrac{3}{4}\right)\).

Calculez \(\dfrac{\sqrt{6}}{2\sqrt{3}-5\sqrt{2}}\).

Calculez \(\dfrac{\sqrt[4]{4a^4}}{\sqrt[3]{2a}}\).

Calculez \(\left(\dfrac{9}{-16}-\dfrac{-9}{16}\right)-\left(\dfrac{53}{24}-\dfrac{73}{36}\right)\).

Simplifiez l'expression \(\displaystyle{\sqrt[n]{\frac{a^{2n+1}}{b^{n+1}}}}\).

Calculez \(\dfrac{3x+3y}{x^2-y^2}+\dfrac{7x-7y}{x^2-2xy+y^2}\).