SOLUTION: Multiply and simplify: 6x-9x^2/9x^2+24+16 * 9x^2+18x+8/9x^2-4

Algebra ->  Expressions-with-variables -> SOLUTION: Multiply and simplify: 6x-9x^2/9x^2+24+16 * 9x^2+18x+8/9x^2-4      Log On


   

Question 172158: Multiply and simplify:
6x-9x^2/9x^2+24+16 * 9x^2+18x+8/9x^2-4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28%286x-9x%5E2%29%2F%289x%5E2%2B24x%2B16%29%29%28%289x%5E2%2B18x%2B8%29%2F%289x%5E2-4%29%29 Start with the given expression.


Factor 6x-9x%5E2 to get -3x%283x-2%29.


Factor 9x%5E2%2B24x%2B16 to get %283x%2B4%29%283x%2B4%29.


Factor 9x%5E2%2B18x%2B8 to get %283x%2B4%29%283x%2B2%29.


Factor 9x%5E2-4 to get %283x-2%29%283x%2B2%29.


Combine the fractions.


Highlight the common terms.

Cancel out the common terms.


-%283x%29%2F%283x%2B4%29 Simplify.


So %28%286x-9x%5E2%29%2F%289x%5E2%2B24x%2B16%29%29%28%289x%5E2%2B18x%2B8%29%2F%289x%5E2-4%29%29 simplifies to -%283x%29%2F%283x%2B4%29.