College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 1 - Section 1.3 - Complex Numbers; Quadratic Equations in the Complex Number System - 1.3 Assess Your Understanding - Page 112: 92


Therefore, $\overline{zw}=\overline{z}\cdot\overline{w}$

Work Step by Step

$\overline{zw}= \overline{(a+bi)(c+di)}=$ $=\overline{(ac-bd)+(ad+bc)i}$ $=(ac-bd)-(ad+bc)i$ $\overline{z}\cdot\overline{w}=(a-bi)(c-di)$ $=ac-adi-bci-bd$ $=(ac-bd)-(ad+bc)i$
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