Answer
$36m^2+12mn+n^2$
Work Step by Step
Using $(a+b)^2=a^2+2ab+b^2$ (or the square of a binomial), the given expression, $
(6m+n)^2
,$ is equivalent to
\begin{array}{l}\require{cancel}
(6m)^2+2(6m)(n)+(n)^2
\\\\=
36m^2+12mn+n^2
.\end{array}