Answer
$\color{blue}{(m^2+36)(m+6)(m-6)}$
Work Step by Step
Note that $m^4=(m^2)^2$ and $1296=36^2$.
Thus, the given binomial is equivalent to:
$=(m^2)^2-36^2$
Factor the binomial using the formula $a^2-b^2=(a+b)(a-b)$ where $a=m^2$ and $b=36$ to obtain:
$=(m^2+36)(m^2-36)
\\=(m^2+36)(m^2-6^2)$
Use the same formula above to factor the second binomial with $a=m$ and $b=6$ to obtain:
$\\=\color{blue}{(m^2+36)(m+6)(m-6)}$