1. The problem statement, all variables and given/known data http://postimg.org/image/tgx9b3n3t/ [Broken] i drew a picture in paint of the initial question. Now me and my freind have both solved this question using different methods and have resulted in the same answer. The answer in the back of the book however is different from both of our answers. I'm wondering if some one can help me out and tell me if i'm missing something, or if the book is indeed wrong. 2. Relevant equations (z^2 - z +1) / ((z^2 + 1/z^2)^2 + 2(z+1/z)^2 -3))^1/2 3. The attempt at a solution Now what i did is i took the bottom piece and i subtracted and added 2 to make the first piece (z^2 + 1/z^2)^2 similar to the second piece ((z^2 + 1/z^2 +2 -2)^2 +2(z+1/z)^2 -3)^1/2 =(( (z+1/z)^2 - 2)^2 +2(z+1/z)^2 - 3)^1/2 when i simplify this i get [ ((z+1/z)^2 - 1)^2 ] ^1/2 = z^2 - 2 + 1/z^2 -1 = (z^4 + z^2 + 1)/z^2 when i divide this peice by the initial numerator z^2 - z + 1 my answer yields z^2(z^2 -z +1)/ (z^4 + z^2 -1) The back of the books answer is z^2/(z^2 + z +1) The only thing i could think of from my answer was that i could factor the bottom piece to cancel somethign with the top but the denominator is unfactorable from what i can see and what wolfram alpha can as well. sooo yea.. that's why i get stuck with my answer.