SOLUTION: can someone help me multiply this rational expression? 4x-24/x^2-2x X 8x/6-x Thanks so much! ac

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Question 56436: can someone help me multiply this rational expression?
4x-24/x^2-2x X 8x/6-x
Thanks so much!
ac
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Assume you mean:
:
%284x-24%29%2F%28x%5E2-2x%29 * 8x%2F%286-x%29
:
Do some factoring:
%284%28x-6%29%29%2F%28x%28x-2%29%29 * 8x%2F%286-x%29
:
In order to cancel the (x-6):
If we put -1 in front of the (6-x) we get -1(-6+x) which is -1(x-6)
so we can write it:
%284%28x-6%29%29%2F%28x%28x-2%29%29 * 8x%2F%28-1%28x-6%29%29
:
Cancel (x-6) and you have:
4%2F%28x%28x-2%29%29 * 8x%2F%28-1%29=4%2F%28x%28x-2%29%29 * - 8x =
:
-32x%2F%28x%28x-2%29%29 = -32%2F%28x-2%29 (Canceled the x's)
:
Could you follow this oK?