How do you simplify #(x-1)/(sqrt x - x)#?
To start lets get rid of the radical sign using substitution. This isn't especially important to the solution, but it does make it easier to recognize some of the identities we will be using.
We can factor the top and bottom to try and find a term that cancels.
If we multiply the denominator by
Split up the
Now we can cancel the two
Undoing the substitution from before we have our simplified function.