SOLUTION: Divide the following fractions. 6p-18 ÷ 3p-9 ______ _____ 9p p²+2p

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Divide the following fractions. 6p-18 ÷ 3p-9 ______ _____ 9p p²+2p       Log On


   

Question 96623: Divide the following fractions.

6p-18 ÷ 3p-9
______ _____
9p p²+2p
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
:
%28%286p-18%29%29%2F%289p%29
------------
%28%283p-9%29%29%2F%28%28p%5E2%2B2p%29%29
:
Invert the dividing fraction and multiply:
%28%286p-18%29%29%2F%289p%29 * %28%28p%5E2%2B2p%29%29%2F%28%283p-9%29%29
:
Factor:
%286%28p-3%29%29%2F%289p%29 * %28p%28p%2B2%29%29%2F%283%28p-3%29%29
:
Cancel (3-p), p,
%286%29%2F%289%29 * %28%28p%2B2%29%29%2F%283%29
:
Cancel 3 into 6
%282%29%2F%289%29 * (p+2) = %282%28p%2B2%29%29%2F9
:
Could you follow this OK?