Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 8 - Section 8.1 - Complex Numbers - 8.1 Problem Set - Page 426: 82

Answer

$-30+24i$

Work Step by Step

$z_{3}(z_{1}-z_{2})$ =$(4+5i)[(2+3i)-(2-3i)]$ =$(4+5i)(2-2+3i+3i)$ =$(4+5i)(6i)$ =$24i+30i^{2}$ =$24i+30(-1)$ =$-30+24i$
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