Answer
$(m-12)(m-6)$
Work Step by Step
$m^2-18m+72$ has no common monomial factor
$=(\ \ \ \ \ \ \ \ )(\ \ \ \ \ \ \ \ )$
$=(m\ \ \ \ \ \ )(m\ \ \ \ \ \ )$
$=(m-\ )(m-\ )$ The 2nd coefficient is negative and the 3rd is positive, so the factors of 72 are both negative.
$=(m-12)(m-6)$ -12 and -6 have a sum of -18 and a product of 72.
