College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 1 - Equations and Inequalities - Exercise Set 1.4 - Page 142: 23



Work Step by Step

Multiply the top and bottom of the term by the conjugate of the denominator. Then combine like terms and divide to simplify. Make sure to change $i^2$ to $-1$. $\frac{2i}{1+i}$ $\frac{2i}{1+i}(\frac{1-i}{1-i})$ $\frac{2i-2i^2}{1-i+i-i^2}$ $\frac{2i-2(-1)}{1-(-1)}$ $\frac{2i+2}{2}$ $\frac{2(i+1)}{2}$ $i+1$
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