SOLUTION: Divide the following fraction. (6p -18)/(9p)divide by(3p - 9)/( p^2 +2p) I got the answer of 9p^4 + 18P^2 Is this correct? Thanks for your time.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Divide the following fraction. (6p -18)/(9p)divide by(3p - 9)/( p^2 +2p) I got the answer of 9p^4 + 18P^2 Is this correct? Thanks for your time.      Log On


   

Question 71268This question is from textbook Beginning Algebra
: Divide the following fraction.
(6p -18)/(9p)divide by(3p - 9)/( p^2 +2p)
I got the answer of 9p^4 + 18P^2
Is this correct?
Thanks for your time. This question is from textbook Beginning Algebra

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Divide:
%28%286p-18%29%2F9p%29%2F%28%283p-9%29%2F%28p%5E2%2B2p%29%29
Remember, to divide fractions, you "Copy the 1st fraction" "Flip the sign from divide to multiply" and "Flip (invert) the 2nd fraction" So we get:
%28%286p-18%29%2F9p%29%2A%28%28p%5E2%2B2p%29%2F%283p-9%29%29 Now you can factor most of the terms:
%282%283p-9%29%2F9p%29%2A%28p%28p%2B2%29%2F%28%283p-9%29%29%29 You can cancel (3p-9) and a p to get:
2%2A%28p%2B2%29%2F9 or %282p%2B4%29%2F9