SOLUTION: I can't get this problem, I have worked on it but i just cant get it. Simply each rational expression: 9x(squared)-15x+25 divided by 27x(cubed)+125 thanks for your help

Algebra ->  Rational-functions -> SOLUTION: I can't get this problem, I have worked on it but i just cant get it. Simply each rational expression: 9x(squared)-15x+25 divided by 27x(cubed)+125 thanks for your help      Log On


   

Question 24503: I can't get this problem, I have worked on it but i just cant get it.
Simply each rational expression:
9x(squared)-15x+25 divided by 27x(cubed)+125

thanks for your help
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify:
%289x%5E2-15x%2B25%29%2F%2827x%5E3%2B125%29 Factor the denominator. This is the sum of two cubes. %283x%29%5E3+%2B+5%5E3
%289x%5E2-15x%2B25%29%2F%283x%2B5%29%289x%5E2-15x%2B25%29 Cancel the like-terms in the top & bottom. 9x%5E2-15x%2B25
1%2F%283x%2B5%29 This is the answer.