Answer
$2x^2+xy-21y^2$
Work Step by Step
Using $(a+b)(c+d)=ab+ad+bc+bd$ or the FOIL Method, the product of the given expression, $
(x-3y)(2x+7y)
,$ is
\begin{array}{l}\require{cancel}
x(2x)+x(7y)-3y(2x)-3y(7y)
\\\\=
2x^2+7xy-6xy-21y^2
\\\\=
2x^2+xy-21y^2
.\end{array}