Question

Frações algébricas
A soma é igual a:?

Answer 1

$\dfrac{-x^2+4x-1}{x^2-1}+ \dfrac{x-2}{x+1} \\\\ \dfrac{-x^2+4x-1}{(x+1)(x-1)}+ \dfrac{x-2}{x+1} \\ \\ \dfrac{-x^2+4x-1+ (x-2)(x-1)}{(x+1)(x-1)} \\\\ \dfrac{-x^2+4x-1+ (x^2-x-2x+2)}{(x+1)(x-1)} \\\\ \dfrac{-x^2+4x-1+x^2-x-2x+2}{(x+1)(x-1)} \\\\ \dfrac{x+1}{(x+1)(x-1)} \\\\ \dfrac{1}{x-1}$