Question

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

Answer 1

Since `x^-1=1/x`, than:

`(1/x-1/y)/((x-y)(x+y))=((y-x)/(xy))/((x-y)(x+y))=-((x-y)/(xy))/((x-y)(x+y))=`

`=-1/(xy(x+y))`.

Answer 2

Have a look at this:

hope it helps!