SOLUTION: 8x . x^2-4 ____ _____ = 3x-6 2x+4 Please help solve this, i already know the answer, I need an explanation!

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Question 88432: 8x . x^2-4
____ _____ =

3x-6 2x+4
Please help solve this, i already know the answer, I need an explanation!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
8x . x^2-4
____ _____ =

3x-6 2x+4
----------------
[8x/(3(x-2))] * [(x-2)(x+2)/2(x+2)]
Cancel the (x+2) factors to get
= [8x/(3(x-2))] * [(x-2)/2]
Cancel the (x-2) factors to get:
= [8x/(3)] * [1/2]
Cancel the "2" factors to get:

= 4x/3
Cheers,
Stan H.