Montrer que : (5x+8)/(-x+2)= -5+(18)/x-2

Bonsoir

[tex]-5+\dfrac{18}{-x+2}=\dfrac{-5(-x+2)}{-x+2}+\dfrac{18}{-x+2}\\\\=\dfrac{-5(-x+2)+18}{-x+2}\\\\=\dfrac{5x-10+18}{-x+2}\\\\=\dfrac{5x+8}{-x+2}[/tex]