Answer
$(3x+5)^2$
Work Step by Step
Using $(a\pm b)^2=a^2\pm2ab+b^2$ or the square of a binomial, the given expression, $
9x^2+30x+25
,$ is equivalent to
\begin{align*}
&
(3x)^2+2(15x)+(5)^2
\\&=
(3x)^2+2(3x\cdot5)+(5)^2
\\&=
(3x+5)^2
.\end{align*}