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: 13

Answer

$-7+6i$

Work Step by Step

$\bf{\text{Solution Outline:}}$ To simplify the given expression, $ (-3+2i)-(4-4i) ,$ 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} -3+2i-4+4i .\end{array} Combining the real parts and the imaginary parts results to \begin{array}{l}\require{cancel} (-3-4)+(2i+4i) \\\\= -7+6i .\end{array}
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