Answer
$18+13i$
Work Step by Step
Using $i^2=-1$, the expression $
(4+i)(5+2i)
$ simplifies to
\begin{array}{l}
4(5)+4(2i)+i(5)+i(2i)
\\=
20+8i+5i+2i^2
\\=
20+13i+2(-1)
\\=
18+13i
.\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: 57
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