SOLUTION: Please help me simplify this complex rational expression: 6/x^2-4 - 5/x+2 ___________ _____ 7/x^2-4 - 4/x-2

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Question 107649This question is from textbook Intermediate Algebra
: Please help me simplify this complex rational expression:
6/x^2-4 - 5/x+2
_________________
7/x^2-4 - 4/x-2
This question is from textbook Intermediate Algebra

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Assume you mean:
-
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-
:
Note that (x^2 - 4) can be factored to (x+2)(x-2)
That will the common denominator for both the numerator & denominator fractions.
:

------------- =

:
:
Multiply what's inside the brackets

----------------- =

:
:

----------------- =

:
:
Invert the dividing fraction and multiply:
*
:
Cancel (x+2)(x-2) and you have:

:
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