SOLUTION: Please help me solve the following: Simplifying Complex Rational Equations 3 - 1 ____ ______ 4x^3 2x ___________ ____ 3 + 5 ____ _____ 2x

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Question 272270: Please help me solve the following: Simplifying Complex Rational Equations
3 - 1
____ ______
4x^3 2x
________________
3 + 5
____ _____
2x 4x^3

** I am assuming that x^3 is the comman factor for this problem. I am confussed about the solving prossess for either method.
Your help is greatly appreciated.
Sharon

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Please help me solve the following: Simplifying Complex Rational Equations
:
We can't solve; it's not an equation, we only simplify
3%2F%284x%5E3%29 - 1%2F%282x%29
---------------
3%2F%282x%29 + 5%2F%284x%5E3%29
:
Actually 4x^3 is the common denominator for both fractions
%283-2x%5E2%29%2F%284x%5E3%29
-----------
%283%282x%5E2%29%2B5%29%2F%284x%5E3%29
which is
%283-2x%5E2%29%2F%284x%5E3%29
-----------
%286x%5E2%2B5%29%2F%284x%5E3%29
Invert the dividing fraction and multiply, conveniently the 4x^3's cancel
%283-2x%5E2%29%2F%284x%5E3%29 * %284x%5E3%29%2F%286x%5E2%2B5%29 = %283-2x%5E2%29%2F%286x%5E2%2B5%29; that's about all we can do with it