Question

Perform the indicated operation. Simplify the result in factored form. ((x - y)/ (x^2 - 1)) * ((x - 1)/(x^2 - y^2))

Answer 1

Answer:

The answer to your question is            $\frac{1}{(x + 1)(x + y)}$            

Step-by-step explanation:

Real operation

                      $\frac{x - y}{x^{2} - 1} \frac{x - 1}{x^{2} - y^{2}}$

Process

1.- Factor the denominators

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

2.- Simplify like terms

Cancel (x - y) and (x - 1) because they are in numerator and the denominator

                    $\frac{1}{(x + 1)(x + y)}$            This is the answer or you can expand

3.- Expand

                   $\frac{1}{x^{2} + xy + x + y^{2}}$