Answer
$25x^4-30x^2+9$
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, $(
5x^2-3
)^2,$ is
\begin{array}{l}\require{cancel}
(5x^2)^2-2(5x^2)(3)+(3)^2
\\\\=
25x^4-30x^2+9
.\end{array}