Answer:
[tex]=\frac{x}{x-1}[/tex]
Step-by-step explanation:
The error is at the beginning when canceling 1's, this is incorrect
Solution: multiply by "x square", factor and simplify
[tex]\frac{x^{2} (1+\frac{1}{x}) }{x^{2} (1-\frac{1}{x^{2} }) } =\frac{x^{2}+x }{x^{2} -1} =\frac{x(x+1)}{(x+1)(x-1)} =\frac{x}{x-1}[/tex]
Hope this helps
