SOLUTION: how do i multiply r^2+7r+10/3 by 3r-30/r^2-5r-50?

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: how do i multiply r^2+7r+10/3 by 3r-30/r^2-5r-50?      Log On


   

Question 174806: how do i multiply r^2+7r+10/3 by 3r-30/r^2-5r-50?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
how do i multiply r^2+7r+10/3 by 3r-30/r^2-5r-50?
---------------
The same as any other fractions. You multiply the NUMs and the DENs.
%28%28r%5E2%2B7r%2B10%29%2F3%29%2A%28%283r-30%29%2F%28r%5E2-5r-50%29%29
=%28%28r%5E2%2B7r%2B10%29%2A%283r-30%29%29%2F%283%2A%28r%5E2-5r-50%29%29
Cancel the 3s
=%28%28r%5E2%2B7r%2B10%29%2A%283r-30%29%29%2F%283%2A%28r%5E2-5r-50%29%29
=%28%28r%2B5%29%2A%28r%2B2%29%2A%28r-10%29%29%2F%28%28r-10%29%2A%28r%2B5%29%29
Cancel (r+5) and (r-10)
=%28r%2B2%29