SOLUTION: add or subtract as indicated. simplify if possible: x-2/x^2-25 - x-2/25-x^2 Please help!!

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: add or subtract as indicated. simplify if possible: x-2/x^2-25 - x-2/25-x^2 Please help!!      Log On


   

Question 183375This question is from textbook
: add or subtract as indicated. simplify if possible:
x-2/x^2-25 - x-2/25-x^2
Please help!! This question is from textbook

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-2%29%2F%28x%5E2-25%29+-+%28x-2%29%2F%2825-x%5E2%29 Start with the given expression


%28x-2%29%2F%28x%5E2-25%29+-+%28x-2%29%2F%28-x%5E2%2B25%29 Rearrange 25-x%5E2 to get -x%5E2%2B25


%28x-2%29%2F%28x%5E2-25%29+-+%28x-2%29%2F%28-%28x%5E2-25%29%29 Factor -x%5E2%2B25 to get -%28x%5E2-25%29


%28x-2%29%2F%28x%5E2-25%29+%2B+%28x-2%29%2F%28x%5E2-25%29 Reduce


Since the denominators are now equal, we can add the fractions:


%28x-2%2B+%28x-2%29%29%2F%28x%5E2-25%29 Combine the fractions.


%282x-4%29%2F%28x%5E2-25%29 Combine like terms.


So %28x-2%29%2F%28x%5E2-25%29+-+%28x-2%29%2F%2825-x%5E2%29 simplifies to %282x-4%29%2F%28x%5E2-25%29