Answer
$10x^2-9x-9$
Work Step by Step
Using $(a+b)(c+d)=ab+ad+bc+bd$ or the FOIL Method, the product of the given expression, $
(2x-3)(5x+3)
,$ is
\begin{array}{l}\require{cancel}
2x(5x)+2x(3)-3(5x)-3(3)
\\\\=
10x^2+6x-15x-9
\\\\=
10x^2-9x-9
.\end{array}