Answer
$-10$
Work Step by Step
Use FOIL method.
$(-3+i)(3+i)=-3\cdot 3-3\cdot i+i\cdot 3+i\cdot i$
Simplify.
$=-9-3i+3i+i^2$
$=-9+i^2$
Use $i^2=-1$.
$=-9+(-1)$
Simplify.
$=-9-1$
$=-10$
Hence, the solution in the standard form is $-10$.
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Appendix A - Review - A.7 Complex Numbers; Quadratic Equations in the Complex Number System - A.7 Assess Your Understanding - Page A60: 24
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