Calcul algébrique : Test de niveau 2

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

Calculez \(\dfrac{\sqrt{14}+\sqrt{15}}{\sqrt{7}-\sqrt{5}}\).

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

Simplifiez l'expression \(\sqrt[4]{a^4+a^4b}\).

Calculez \(\dfrac{\sqrt{2}}{2-2\sqrt{2}}\).

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

Calculez \(\dfrac{1}{2}\left(\dfrac{2}{3}-\dfrac{4}{5}\right)-\dfrac{3}{4}\left(2-\dfrac{1}{3}\right)\).

Calculez \(\left(\dfrac{1}{a}+1\right)/(1-a^2)\).

Si  \(a=0,2\)\(b=-0,1\), \(c=-0,5\) et \(d=2\) Calculez  \(c(a+b)^2+d^2\).

Simplifiez l'expression \(\left( \dfrac{a^2b^3c^{-2}}{a^3b^2c}\right) ^{-1}\).