Answer
$15x^2+7xy-2y^2$
Work Step by Step
Use special products to multiply the given expression, $
(3x+2y)(5x-y)
.$
Using $(a+b)(c+d)=ac+ad+bc+bd$ or the FOIL Method, the product of the expression above is
\begin{array}{l}\require{cancel}
3x(5x)+3x(-y)+2y(5x)+2y(-y)
\\\\=
15x^2-3xy+10xy-2y^2
\\\\=
15x^2+7xy-2y^2
.\end{array}