1-x^-2/1-x^-1 simplify

Question

1-x^-2/1-x^-1 simplify Full writen steps 

Answer 1

Assuming that you mean:  (1 - x^-2)/(1 - x^-1), we get:

 

(1 - 1/x²)/ (1 - 1/x)  = [(x² - 1)/x²]/[(x - 1)/x]

 

                             = [(x-1)(x+1)/x²] ÷ [(x-1)/x]

 

                             = [(x-1)(x+1)/x²][x/(x-1)]

 

                             = (x+1)/x