Question

2x/x-1 - 1/x+1= ? qual o valor?

Answer 1

$\frac{2x}{x-1} - \frac{1}{x+1}$

$\frac{2x(x+1)}{(x+1)(x-1)} - \frac{x-1}{(x+1)(x-1)}$

$\frac{2 x^{2} + 2x - x + 1}{( x^{2} - y^{2}) }$

$\frac{2 x^{2} + x + 1}{( x^{2} - y^{2}) }$

Answer 2

$\frac{2x}{x-1} - \frac{1}{x+1}$

mmc = (x-1) (x+1)

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