Answer
$10x^2-13xy-3y^2$
Work Step by Step
Using $(a+b)(c+d)=ac+ad+bc+bd$ or the product of $2$ binomials, the given expression, $
(5x+y)(2x-3y)
,$ simplifies to
\begin{array}{l}\require{cancel}
5x(2x)+5x(-3y)+y(2x)+y(-3y)
\\\\=
10x^2-15xy+2xy-3y^2
\\\\=
10x^2-13xy-3y^2
.\end{array}