Answer
$20-60i$
Work Step by Step
Step 1: $(3-i)(3+i)(2-6i)$
Step 2: Solving $(3-i)(3+i)$ first,
$(3-i)(3+i)=9+3i-3i-i^{2}=9-i^{2}=9+1=10$
Step 3: Therefore, the expression becomes $10(2-6i)$
Step 4: Simplifying, the final answer is $20-60i$
Trigonometry (10th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
0321671775
ISBN 13:
978-0-32167-177-6
Chapter 8 - Complex Numbers, Polar Equations, and Parametric Equations - Section 8.1 Complex Numbers - 8.1 Exercises - Page 358: 80
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