Answer
$10x^2-x-3$
Work Step by Step
Use special products to multiply the given expression, $
(5x-3)(2x+1)
.$
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}
5x(2x)+5x(1)-3(2x)-3(1)
\\\\=
10x^2+5x-6x-3
\\\\=
10x^2-x-3
.\end{array}