SOLUTION: x^3+96-6x^2-16x/3x^3-648 divided by 4x^2+16x-64/6x^2-26x+216 I don't even know how to begin to slove this problem. Thanks so much for your help!

Algebra ->  Equations -> SOLUTION: x^3+96-6x^2-16x/3x^3-648 divided by 4x^2+16x-64/6x^2-26x+216 I don't even know how to begin to slove this problem. Thanks so much for your help!      Log On


   

Question 158059: x^3+96-6x^2-16x/3x^3-648 divided by 4x^2+16x-64/6x^2-26x+216

I don't even know how to begin to slove this problem. Thanks so much for your help!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the given expression.


Multiply the first fraction %28x%5E3%2B96-6x%5E2-16x%29%2F%283x%5E3-648%29 by the reciprocal of the second fraction %284x%5E2%2B16x-64%29%2F%286x%5E2-26x%2B216%29.


Factor x%5E3%2B96-6x%5E2-16x to get %28x-4%29%2A%28x-6%29%2A%28x%2B4%29 (hint graph the expression).


Factor 3x%5E3-648 to get 3%2A%28x-6%29%2A%28x%5E2%2B6%2Ax%2B36%29 (hint use the difference of cubes).



Combine the fractions.


Highlight the common terms.


Cancel out the common terms.


Simplify.




So simplifies to .



Note: the answer is not as "simple" as I think it should be. Double check the problem to make sure that you copied it correctly