Simplify (x-2 - y-2) / (x-1 + y-1)
The Attempt at a Solution
So I just factorised the numerator into x-1 - y-1 and x-1 + y-1. And was left with x-1 - y-1 as an answer. The text book gives (y - x) / (xy) as the answer (no working shown). So after some substitution I've realised my answer and the text book's are the same. But I would like to know how they got theirs and is it a simpler form of my answer?
And I read on the internet that polynomials with negative exponents are not called polynomials, is that true and what should they be called? Thanks a lot in advance :)