Answer
$5d^2+27d-18$
Work Step by Step
Using $(a+b)(c+d)=ac+ad+bc+bd$ or the FOIL Method, the expression, $
(5d-3)(d+6)
$, is equivalent to
\begin{array}{l}
5d(d)+5d(6)-3(d)-3(6)
\\\\=
5d^2+30d-3d-18
\\\\=
5d^2+27d-18
.\end{array}
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