SOLUTION: {{{(2-(x+y)/(x-2y)) / (2/(x+y) - 1/(x-2y))}}}

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: {{{(2-(x+y)/(x-2y)) / (2/(x+y) - 1/(x-2y))}}}      Log On


   

Question 529480: %282-%28x%2By%29%2F%28x-2y%29%29+%2F+%282%2F%28x%2By%29+-+1%2F%28x-2y%29%29
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%282-%28x%2By%29%2F%28x-2y%29%29+%2F+%282%2F%28x%2By%29+-+1%2F%28x-2y%29%29
Perform the necessary operations to put both expression over a single denominator
%282%28x-2y%29-%28x%2By%29%29%2F%28x-2y%29%29
--------------------
%282%28x-2y%29-%28x%2By%29%29%2F%28%28x%2By%29%28x-2y%29%29
:
%28%282x-4y-x-y%29%29%2F%28x-2y%29%29
--------------------
%28%282x-4y-x-y%29%29%2F%28%28x%2By%29%28x-2y%29%29
combine like terms
%28%28x-5y%29%29%2F%28x-2y%29%29
--------------------
%28%28x-5y%29%29%2F%28%28x%2By%29%28x-2y%29%29
invert the dividing fraction and multiply
%28%28x-5y%29%29%2F%28x-2y%29%29 * %28%28x%2By%29%28x-2y%29%29%2F%28%28x-5y%29%29
Hey! we can cancel: (x-5y) and (x-2y), left with
(x + y)