Answer
$(2x+3y)(4x^2-6xy+9y^2)$
Work Step by Step
Using $a^3+b^3=(a+b)(a^2-ab+b^2)$, or the factoring of the sum of $2$ cubes, the factored form of the given expression, $ 8x^3+27y^3
,$ is \begin{array}{l}\require{cancel}
(2x+3y)[(2x)^2-2x(3y)+(3y)^2]
\\\\=
(2x+3y)(4x^2-6xy+9y^2)
.\end{array}