Question

How do you simplify `((1/x) - (1/5))/((1/x^2) - (1/25))`?

Answer 1

According to the rule : `a^2-b^2 = (a-b)(a+b)`

Explanation:

`((1/x-1/5))/((1/x-1/5)(1/x+1/5))`

`=cancel((1/x-1/5))/cancel((1/x-1/5))1/((1/x+1/5))`

`=1/((x+5)/(5x)`

`=5x/(x+5)`