SOLUTION: Divide the fraction. 6p - 18 OVER 9p DIVIDED BY 3p - 9 OVER p squared + 2p

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Divide the fraction. 6p - 18 OVER 9p DIVIDED BY 3p - 9 OVER p squared + 2p      Log On


   

Question 115938: Divide the fraction.
6p - 18 OVER 9p DIVIDED BY 3p - 9 OVER p squared + 2p
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
%28%286p-18%29%2F9p%29%2F%28%283p-9%29%2F%28p%5E2%2B2p%29%29 is what I think you meant.

Remember when dividing one fraction by the other, you invert and multiply, so:

%28%286p-18%29%2F9p%29%2A%28%28p%5E2%2B2p%29%2F%283p-9%29%29


Then notice that we can do a little factoring:

%282%283p-9%29%2F9p%29%2A%28p%28p%2B2%29%2F%283p-9%29%29

2%28p%2B2%29%2F9
%282p%2B4%29%2F9