reduce this algebraic fraction (x-y/x^2-1)(x-1/x^2-y^2)
Accepted Solution
A:
Answer:[tex](\frac{1}{(x+1)(x+y)})[/tex]Step-by-step explanation:The given algebraic fraction is;[tex](\frac{x-y}{x^2-1})(\frac{x-1}{x^2-y^2} )[/tex]We factor using difference of two squares.[tex](\frac{x-y}{x^2-1^2})(\frac{x-1}{x^2-y^2} )[/tex][tex](\frac{x-y}{(x+1)(x-1)})(\frac{x-1}{(x-y)(x+y)} )[/tex]Cancel out the common factors;[tex](\frac{1}{(x+1)(1)})(\frac{1}{(1)(x+y)} )[/tex]Simplify;[tex](\frac{1}{(x+1)(x+y)})[/tex]