Answer
$28x^3y-7x^2y+35xy$
Work Step by Step
Using $a(b+c)=ab+ac$ (or the Distributive Property), the given expression, $
7xy(4x^2-x+5)
,$ is equivalent to
\begin{array}{l}\require{cancel}
7xy(4x^2)+7xy(-x)+7xy(5)
\\\\=
28x^3y-7x^2y+35xy
.\end{array}