Question 107857
Assume you want to factor this:
:
{{{m^3n-10m^2n^2+24mn^3}}}
:
Note that every term contains mn, so factor out mn and you have: 
{{{mn(m^2-10mn+24n^2)}}}
:
Note that {{{(m^2-10mn+24n^2)}}} is a quadratic that can be factored:
So we have:
mn (m - 4n) (m - 6n)