SOLUTION: Divide the fractions. Be sure to simplify completely. 6p-18 3p-9 ----- divided by ------ 9p p^2+2p

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Divide the fractions. Be sure to simplify completely. 6p-18 3p-9 ----- divided by ------ 9p p^2+2p       Log On


   

Question 64781: Divide the fractions. Be sure to simplify completely.
6p-18 3p-9
----- divided by ------
9p p^2+2p

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Divide the fractions. Be sure to simplify completely.
:
%286p-18%29%2F%289p%29 / %283p-9%29%2F%28p%5E2+%2B+2p%29
:
Remember, when you divide fractions, invert the dividing fraction & mutiply:
%286p-18%29%2F%289p%29 * %28p%5E2+%2B+2p%29%2F%283p-9%29
:
Factor where you can:
%286%28p-3%29%29%2F%289p%29 * %28p%28p+%2B+2%29%29%2F%283%28p-3%29%29%29
:
Some canceling: (p-3)'s, 3 into 6, leaving us with:
2%2F%289p%29 * (p(p + 2)
:
Cancel the p's and you have:
2%2F9 * (p + 2) = %282%28p%2B2%29%29%2F9
:
Could you follow this OK?