Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 7 - Section 7.7 - Complex Numbers - 7.7 Exercises: 41

Answer

$1+13i$

Work Step by Step

$\bf{\text{Solution Outline:}}$ To simplify the given expression, $ (-4+11i)+(-2-4i)+(7+6i) ,$ remove the grouping symbols first. Then combine the real numbers and combine the imaginary numbers $\bf{\text{Solution Details:}}$ Removing the grouping symbols, the expression above is equivalent to \begin{array}{l}\require{cancel} -4+11i-2-4i+7+6i .\end{array} Combining the real numbers and combining the imaginary numbers result to \begin{array}{l}\require{cancel} (-4-2+7)+(11i-4i+6i) \\\\= 1+13i .\end{array}
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