Question

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

Answer 1

`= 1/(x+5)`

Explanation:

Factorise the denominator as the difference of squares.

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

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

`= 1/(x+5)`