SOLUTION: Simplify the complex fraction. 1) 2x+12/3x-15/2x^2-6x-20/x^2-10x+25 thanks!

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Question 734401: Simplify the complex fraction.
1) 2x+12/3x-15/2x^2-6x-20/x^2-10x+25
thanks!

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
2x+12/3x-15/2x^2-6x-20/x^2-10x+25
Factor:
[2(x+6)/3(x-5)]/[2(x-5)(x+2)/(x-5)^2]
------------------------
Invert the denominator and multiply:
[2(x+6)/3(x-5)]*{(x-5)^2/[2(x-5)(x+2)]}
-------
[2(x+6)/3] * {(x-5)^2/[2(x-5)^2*(x+2)]}
---------
Cancel 2,(x-5)^2 to get:
-------------------------------
[(x+6)/3]*{1/[(x+2)}
-----
= (x+6)/[3(x+2)]
=====================
Cheers,
Stan H.


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