SOLUTION: w-3/ w-8 -w+1/w+8 + w-88/w^2-64 Ive been doing these kind of problems and I just cant get it right, I think i have the steps down then they are wrong, Says to perform indic

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: w-3/ w-8 -w+1/w+8 + w-88/w^2-64 Ive been doing these kind of problems and I just cant get it right, I think i have the steps down then they are wrong, Says to perform indic      Log On


   

Question 268664: w-3/ w-8 -w+1/w+8 + w-88/w^2-64
Ive been doing these kind of problems and I just cant get it right, I think i have the steps down then they are wrong,

Says to perform indicated operations and simplify
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
here is the problem:
%28w-3%29%2F+%28w-8%29+-+%28w%2B1%29%2F%28w%2B8%29+%2B+%28w-88%29%2F%28w%5E2-64%29
step 1 - find a common denominator as w^2-64 or (w+8)(w-8).
step 2 - change the numerators to get
%28%28w-3%29%28w%2B8%29-+%28w%2B1%29%28w-8%29+%2B+%28w-88%29%29%2F%28w%5E2-64%29
step 3 - expand the numerator to get
%28w%5E2+%2B+5w+-+24+-+w%5E2+%2B+7w+%2B+8+%2B+w+-+88%29%2F%28%28w%2B8%29%28w-8%29%29
step 4 combine like terms to get
%2813w+-+104%29%2F%28%28w%2B8%29%28w-8%29%29
step 5 - factor numerator and get
13%28w-8%29%2F%28%28w%2B8%29%28w-8%29%29
step 6 - cancel w-8 to get
13%2F%28w%2B8%29