Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 4 Quadratic Functions and Factoring - 4.6 Perform Operations with Complex Numbers - 4.6 Exercises - Skill Practice - Page 280: 64

Answer

$\frac{ac-bd}{c^2+d^2}-\frac{bc+ad}{c^2+d^2}i$

Work Step by Step

$\frac{a-bi}{c+di}=\frac{(a-bi)(c-di)}{(c+di)(c-di)}=\frac{ac-bd-(bc+ad)i}{c^2+d^2}=\frac{ac-bd}{c^2+d^2}-\frac{bc+ad}{c^2+d^2}i$
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