SOLUTION: Problems like this one really confuse me. Please help. m^3n-10m^2n^2+24mn^3

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Problems like this one really confuse me. Please help. m^3n-10m^2n^2+24mn^3       Log On


   

Question 107857: Problems like this one really confuse me. Please help.
m^3n-10m^2n^2+24mn^3

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Assume you want to factor this:
:
m%5E3n-10m%5E2n%5E2%2B24mn%5E3
:
Note that every term contains mn, so factor out mn and you have:
mn%28m%5E2-10mn%2B24n%5E2%29
:
Note that %28m%5E2-10mn%2B24n%5E2%29 is a quadratic that can be factored:
So we have:
mn (m - 4n) (m - 6n)