Answer:
The answer to your question is [tex]\frac{1}{(x + 1)(x + y)}[/tex]
Step-by-step explanation:
Real operation
[tex]\frac{x - y}{x^{2} - 1} \frac{x - 1}{x^{2} - y^{2}}[/tex]
Process
1.- Factor the denominators
[tex]\frac{x - y}{(x + 1)(x - 1)} \frac{x - 1}{(x + y)(x - y)}[/tex]
2.- Simplify like terms
Cancel (x - y) and (x - 1) because they are in numerator and the denominator
[tex]\frac{1}{(x + 1)(x + y)}[/tex] This is the answer or you can expand
3.- Expand
[tex]\frac{1}{x^{2} + xy + x + y^{2}}[/tex]
