How do you combine #x^2/(x-1) - 1/(x-1)#?
Since the numerators are the same:
You do it by using the lowest common denominator among both fractions.
However, when both fractions have the same denominator and you're working with sums or subtractions, you can just go directly to the operation, summing/subtracting the terms in the numerators, keeping the denominator as it is, as follows:
Note that the numerator
So, your final answer is