SOLUTION: I need to simplify the following:After factoring the top and the bottom we have: 3x(x-2)(x+2)/6x(x-2)(x+2)=1/2, assuming that x different from -2 and 2. ___________ _

Algebra ->  Expressions-with-variables -> SOLUTION: I need to simplify the following:After factoring the top and the bottom we have: 3x(x-2)(x+2)/6x(x-2)(x+2)=1/2, assuming that x different from -2 and 2. ___________ _       Log On


   

Question 977820: I need to simplify the following:After factoring the top and the bottom we have:
3x(x-2)(x+2)/6x(x-2)(x+2)=1/2, assuming that x different from -2 and 2.
_____________


I know I need to factor, but how do I factor the top part of the equation?
Found 3 solutions by rfer, Edwin McCravy, Gogonati:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
3x(x+2)(x-2)

Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!
The other tutors' answers above and below are both incorrect.
Well, maybe the one above is OK for ONLY factoring the top.

%283x%5E3-12x%29%2F%286x%5E3-24x%5E2%2B24x%29

%283x%28x%5E2-4%29%29%2F%286x%28x%5E2-4x%2B4%29%29

Factor the difference of squares:
Go here to learn how:

http://www.bing.com/videos/search?q=factoring+the+difference+of+squares&FORM=VIRE1#view=detail&mid=F85EA24E785788180598F85EA24E785788180598

%283x%28x-2%29%28x%2B2%29%29%2F%286x%28x-2%29%28x-2%29%29

The x's and the (x-2) on the top cancels with one of the (x-2)'s on the bottom



%283%28x%2B2%29%29%2F%286%28x-2%29%29

The 3 in the top cancels into the 6 on the bottom

%28cross%283%29%28x%2B2%29%29%2F%28cross%286%29%28x-2%29%29
2

%28x%2B2%29%2F%282%28x-2%29%29

Edwin

Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
I need to simplify the following:
After factoring the top and the bottom we have:
3x(x-2)(x+2)/6x(x-2)(x+2)=1/2, assuming that x different from -2 and 2.