Question

Resuelva la siguiente operación de expresión racional 5x/(x^2-1)-2/(x+1)+6/(x-1)
Urgente por favor!

Answer 1

$\frac{5x}{x^2-1} - \frac{2}{x+1} + \frac{6}{x-1} = \frac{5x}{(x+1)(x-1)} - \frac{2}{x+1} + \frac{6}{x-1} = \\ \\ = \frac{5x}{(x+1)(x-1)} - \frac{2}{x+1}* \frac{x-1}{x-1} + \frac{6}{x-1}* \frac{x+1}{x+1}= \\ \\ =\frac{5x}{(x+1)(x-1)} - \frac{2(x-1)}{(x+1)(x-1)}+ \frac{6(x+1)}{(x-1)(x+1)}= \\ \\ = \frac{5x-2(x-1)+6(x+1)}{(x+1)(x-1)} = \frac{5x-2x+2+6x+6}{(x+1)(x-1)} = \frac{9x+8}{(x+1)(x-1)}$