Exercice 00-02
Simplifier les expressions rationnelles suivantes.
  1. \(\displaystyle\frac{x^2+3x+2}{x^2-x-2}\)
  2. \(\displaystyle\frac{2x^2-x-1}{x^2-9}\cdot \frac{x+3}{2x+1}\)
  3. \(\displaystyle\frac{x^2}{x^2-4}-\frac{x+1}{x+2}\)
  4. \(\displaystyle\frac{\frac{y}{x}-\frac{x}{y}}{\frac{1}{y}-\frac{1}{x}}\)
1. \(\frac{x+2}{x-2}\) 2. \(\frac{x-1}{x-3}\) 3. \(\frac{1}{x-2}\) 4. \(-(x+y)\).