Answer
$\dfrac{3}{25}x^2+\dfrac{14}{5}x-5$
Work Step by Step
Using $(a+b)(c+d)=ac+ad+bc+bd$ or the Distributive Property, the given expression, $
\left( \dfrac{1}{5}x+5 \right)\left( \dfrac{3}{5}x-1 \right)
,$ is equivalent to
\begin{array}{l}\require{cancel}
\dfrac{1}{5}x\left( \dfrac{3}{5}x \right)+\dfrac{1}{5}x(-1)+5\left( \dfrac{3}{5}x \right)+5(-1)
\\\\=
\dfrac{3}{25}x^2-\dfrac{1}{5}x+\dfrac{15}{5}x-5
\\\\=
\dfrac{3}{25}x^2+\dfrac{14}{5}x-5
.\end{array}
