\(\left(\dfrac{x+1}{4x-4}\right)-\left(\dfrac{x-1}{4x+4}\right)+\left(\dfrac{x}{1-x^2}\right)\)
\(\left(\dfrac{x+1}{4.\left(x-1\right)}\right)-\left(\dfrac{x-1}{4\left(x+1\right)}\right)-\left(\dfrac{x}{\left(x-1\right)\left(x+1\right)}\right)\)
\(\left(\dfrac{\left(x+1\right)\left(x+1\right)}{4\left(x-1\right)\left(x+1\right)}\right)-\left(\dfrac{\left(x-1\right)\left(x-1\right)}{4\left(x+1\right)\left(x-1\right)}\right)-\left(\dfrac{4x}{4\left(x+1\right)\left(x-1\right)}\right)\)
\(\left(\dfrac{\left(x+1\right)^2}{4\left(x-1\right)\left(x+1\right)}\right)-\left(\dfrac{\left(x-1\right)^2}{4\left(x+1\right)\left(x-1\right)}\right)-\left(\dfrac{4x}{4\left(x+1\right)\left(x-1\right)}\right)\)
\(\dfrac{\left(x+1\right)^2-\left(x-1\right)^2-4x}{4\left(x+1\right)\left(x-1\right)}\)
\(\dfrac{\left(x+1-x+1\right).\left(x+1+x-1\right)-4x}{4.\left(x+1\right)\left(x-1\right)}\)
\(\dfrac{2.2x-4x}{4.\left(x+1\right)\left(x-1\right)}\)
