Question

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

Answer 1

`=>((x + 5)/((x + 5)(x - 5)) - x/(x^2 -25))/(5/(2x))`

`=> (5/(x^2 - 25))/(5/(2x))`

`=> (2x)/(x^2 - 25)`

If you insist on factored form, `= (2x)/((x + 5)(x - 5))`.

Hopefully this helps!