Answer
$2-3x-20x^2$
Work Step by Step
Using $(a+b)(c+d)=ab+ad+bc+bd$ or the FOIL Method, the product of the given expression, $
(2+5x)(1-4x)
,$ is
\begin{array}{l}\require{cancel}
2(1)+2(-4x)+5x(1)+5x(-4x)
\\\\=
2-8x+5x-20x^2
\\\\=
2-3x-20x^2
.\end{array}