Answer
$4-12x^6+9x^{12}$
Work Step by Step
Using $(a\pm b)^2=a^2\pm2ab+b^2$ or the square of a binomial, the square of the given expression, $
(2-3x^6)^2
,$ is
\begin{array}{l}\require{cancel}
(2)^2-2(2)(3x^6)+(3x^6)^2
\\\\=
4-12x^6+9x^{12}
.\end{array}