1. Tardigrade
  2. Question
  3. Mathematics
  4. Simplify: (x-1/x+1)+(x+1/x-1)-(x2+1/x2-1)

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. Simplify: $\frac{x-1}{x+1}+\frac{x+1}{x-1}-\frac{x^2+1}{x^2-1}$

Polynomials

Solution:

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