College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Section 1.5 - Complex Numbers - 1.5 Exercises - Page 131: 45



Work Step by Step

$\displaystyle \frac{1}{1+i}-\frac{1}{1-i}=\frac{1}{1+i}*\frac{1-i}{1-i}-\frac{1}{1-i}*\frac{1+i}{1+i}=\frac{1-i}{1-i^{2}}-\frac{1+i}{1-i^{2}}=\frac{1-i}{1--1}-\frac{1+i}{1--1}=\frac{1-i}{2}+\frac{-1-i}{2}=\frac{-2i}{2}=-i$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.