Answer
$10m^2+24m-18$
Work Step by Step
Using $(a+b)(c+d)=ac+ad+bc+bd$ or the FOIL Method, the product of the binomials in the given expression, $
(2m+6)(5m-3)
,$ is
\begin{array}{l}\require{cancel}
2m(5m)+2m(-3)+6(5m)+6(-3)
\\\\=
10m^2-6m+30m-18
\\\\=
10m^2+24m-18
.\end{array}