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 111: 12



Work Step by Step

$\bf{\text{Solution Outline:}}$ To simplify the given expression, $ (4+5i)+(-8+2i) ,$ remove the grouping symbols. Then combine the real parts and the imaginary parts. $\bf{\text{Solution Details:}}$ Removing the grouping symbols, the given expression is equivalent to \begin{array}{l}\require{cancel} 4+5i-8+2i .\end{array} Combining the real parts and the imaginary parts results to \begin{array}{l}\require{cancel} (4-8)+(5i+2i) \\\\= -4+7i .\end{array}
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