SOLUTION: Multiply and Simplify ((4c^2)/(3c^2-12c+12))*((3c-6)/2c)) Thank you I really need help with this!!!

Algebra ->  Equations -> SOLUTION: Multiply and Simplify ((4c^2)/(3c^2-12c+12))*((3c-6)/2c)) Thank you I really need help with this!!!      Log On


   

Question 144593: Multiply and Simplify
((4c^2)/(3c^2-12c+12))*((3c-6)/2c))
Thank you I really need help with this!!!
Found 2 solutions by jim_thompson5910, ankor@dixie-net.com:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28%282%2A2%2Ac%2Ac%29%2F%283c%5E2-12c%2B12%29%29%28%283c-6%29%2F%282c%29%29 Start with the given expression


%28%282%2A2%2Ac%2Ac%29%2F%283c%5E2-12c%2B12%29%29%28%283c-6%29%2F%282c%29%29 Factor 4c%5E2 to get 2%2A2%2Ac%2Ac


%28%282%2A2%2Ac%2Ac%29%2F%283%28c-2%29%28c-2%29%29%29%28%283c-6%29%2F%282c%29%29 Factor 3c%5E2-12c%2B12 to get 3%28c-2%29%28c-2%29


%28%282%2A2%2Ac%2Ac%29%2F%283%28c-2%29%28c-2%29%29%29%28%283%28c-2%29%29%2F%282c%29%29 Factor 3c-6 to get 3%28c-2%29


%282%2A2%2Ac%2Ac%2A3%28c-2%29%29%2F%283%28c-2%29%28c-2%29%282c%29%29 Combine the fractions


Cancel like terms



%282c%29%2F%28c-2%29 Simplify



So %28%284c%5E2%29%2F%283c%5E2-12c%2B12%29%29%28%283c-6%29%2F%282c%29%29 simplifies to %282c%29%2F%28c-2%29. In other words, %28%284c%5E2%29%2F%283c%5E2-12c%2B12%29%29%28%283c-6%29%2F%282c%29%29=%282c%29%2F%28c-2%29 where c%3C%3E0 and c%3C%3E2

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%284c%5E2%29%2F%283c%5E2-12c%2B12%29 * %28%283c-6%29%29%2F%282c%29
:
Note that 2c cancels into 4c^2, 2c times,
%282c%29%2F%283c%5E2-12c%2B12%29 * (3c-6)
:
Factor
%282c%29%2F%28%283c-6%29%28c-2%29%29 * (3c-6)
:
I'm sure you have noted now, that the (3c-6)'s will cancel, leaving:
%282c%29%2F%28%28c-2%29%29