SOLUTION: In my homework, I'm being asked to perform the indicated operation and to simplify: 1- 2x-1/x^2-4 over (or divided by) 1+ 1/x-2 If you could please help me with the following

Algebra ->  Equations -> SOLUTION: In my homework, I'm being asked to perform the indicated operation and to simplify: 1- 2x-1/x^2-4 over (or divided by) 1+ 1/x-2 If you could please help me with the following      Log On


   

Question 91961: In my homework, I'm being asked to perform the indicated operation and to simplify:
1- 2x-1/x^2-4 over (or divided by) 1+ 1/x-2
If you could please help me with the following question it would be greatly appreciated. Thank you for all of your time!!!
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
:
simplify:
Assume you mean:
:
1-+%28%282x-1%29%2F%28x%5E2-4%29%29
------------
1+%2B+%281%2F%28x-2%29%29
:
Convert both expression to be over a single denominator:
%28%28x%5E2+-+4%29-%282x-1%29%29%2F%28x%5E2-4%29%29
-----------------
%28%28x-2%29%2B+1%29%2F%28x-2%29
:
Remove the brackets:
%28x%5E2+-4+-+2x+%2B+1%29%2F%28x%5E2-4%29%29
-----------------
%28x+-+2+%2B+1%29%2F%28x-2%29
:
%28x%5E2+-+2x+-+3%29%2F%28x%5E2-4%29%29
-------------
%28x+-+1%29%2F%28x-2%29
:
Factor:
%28%28x-3%29%28x%2B1%29%29%2F%28%28x-2%29%28x%2B2%29%29%29
-----------------
%28x+-+1%29%2F%28x-2%29
:
Invert the dividing fraction and mulitply
%28%28x-3%29%28x%2B1%29%29%2F%28%28x-2%29%28x%2B2%29%29%29 * %28x-2%29%2F%28x-1%29
:
Cancel the (x-2)'s
%28%28x-3%29%28x%2B1%29%29%2F%28x%2B2%29%29 * 1%2F%28x-1%29 = %28%28x-3%29%28x%2B1%29%29%2F%28%28x%2B2%29%28x-1%29%29; is about all you can do with it
:
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