#### Answer

$1+5i$

#### Work Step by Step

$(3+2i)(1+i)$
$3(1+i)+2i(1+i)$
$3+3i+2i+2i^{2}$
$3+5i+2i^{2}$
Since $i^{2}=-1$, the expression becomes $3+5i+2(-1)$
Simplifying further, $3-2+5i$
Finally, $1+5i$

Published by
Pearson

ISBN 10:
0321726391

ISBN 13:
978-0-32172-639-1

$1+5i$

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