Answer
$2+14i$
Work Step by Step
Using $i^2=-1$, the expression $
(3+i)(2+4i)
$ simplifies to
\begin{array}{l}
3(2)+3(4i)+i(2)+i(4i)
\\=
6+12i+2i+4i^2
\\=
6+14i+4(-1)
\\=
2+14i
.\end{array}
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 7 - Section 7.7 - Complex Numbers - Exercise Set - Page 463: 58
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