Hi everyone and nice to meet you. I'm velox_xox a newbie to PF and a high school correspondence student currently taking Algebra II. Since I'm correspondence, I am basically teaching myself my subjects, which means if I don't understand something it's a big problem. I enjoy math, but I must admit it is one of my weaker subjects so any help on this and future questions would be GREATLY appreciated. Thank you! 1. The problem statement, all variables and given/known data Simplify: x^2 - y^2 - 4y - 4 / x^2 - y^2 -4x + 4 The answer (according to the back of the book) should be: x + y + 2 / x + y - 2 2. Relevant equations -- 3. The attempt at a solution I've tried multiple combinations to try to get the correct answer. Here is my closest one: x^2 - y^2 - 4y - 4 / x^2 - y^2 - 4x + 4 = Using the difference of the squares and distributive property to factor I got: (x + y)(x - y) -4(y +1) / (x + y)(x-y) -4(x-1) = Simplify by getting rid of like terms: (y + 1) / (x - 1) I'm pretty sure I'm missing some combination between GCF, factoring, Perfect Square Trinomials, and/or Difference of Squares. I just can't see which ones to use that will give me the right answer.