Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 2 - Review Exercises - Page 429: 1

Answer

The standard form of the expression $\left( 8-3i \right)-\left( 17-7i \right)$ is $-9+4i$.

Work Step by Step

Consider the expression, $\left( 8-3i \right)-\left( 17-7i \right)$ Remove the parentheses. $\left( 8-3i \right)-\left( 17-7i \right)=8-3i-17+7i$ Combine the real part and the imaginary part. $\begin{align} & \left( 8-3i \right)-\left( 17-7i \right)=\left( 8-17 \right)+\left( -3i+7i \right) \\ & =-9+\left( -3+7 \right)i \\ & =-9+4i \end{align}$ Therefore, the standard form of the expression $\left( 8-3i \right)-\left( 17-7i \right)$ is $-9+4i$.
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