SOLUTION: Perform the operations and simplify. w-7/w-9 - w+1/w+9 + w-45/ w^2-81=

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Perform the operations and simplify. w-7/w-9 - w+1/w+9 + w-45/ w^2-81=      Log On


   

Question 466428: Perform the operations and simplify.
w-7/w-9 - w+1/w+9 + w-45/ w^2-81=
Answer by ccs2011(207) About Me  (Show Source):
You can put this solution on YOUR website!
Factor denominators
%28w-7%29%2F%28w-9%29-%28w%2B1%29%2F%28w%2B9%29%2B%28w-45%29%2F%28w%2B9%29%28w-9%29
Find common denominator and transform numerators
%28%28w-7%29%28w%2B9%29+-+%28w%2B1%29%28w-9%29+%2B+%28w-45%29%29%2F%28w%2B9%29%28w-9%29
Distribute and add like terms
%28w%5E2%2B2w-63+-w%5E2%2B8w%2B9%2Bw-45%29%2F%28w%2B9%29%28w-9%29
%2811w+-+99%29%2F%28w%2B9%29%28w-9%29
Factor 11 out of numerator
11%28w-9%29%2F%28w%2B9%29%28w-9%29
Cancel
11%2F%28w%2B9%29