Answer
$27x^3+54x^2+36x+8$
Work Step by Step
Using $(a+b)^3=a^3+3a^2b+3ab^2+b^3$ (or the cube of a binomial), the given expression, $
(3x+2)^3
,$ is equivalent to
\begin{array}{l}\require{cancel}
(3x)^3+3(3x)^2(2)+3(3x)(2)^2+(2)^3
\\\\=
27x^3+3(9x^2)(2)+3(3x)(4)+8
\\\\=
27x^3+54x^2+36x+8
.\end{array}