Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 4 Quadratic Functions and Factoring - 4.6 Perform Operations with Complex Numbers - 4.6 Exercises - Skill Practice - Page 280: 29


$=\displaystyle \frac{18i-6}{10}$

Work Step by Step

$\displaystyle \frac{6i}{3-i}\qquad$ ...multiply both numerator and denominator by $3-i$ $=\displaystyle \frac{6i(3+i)}{(3-i)(3+i)}\qquad$ ...use the FOIL method. $=\displaystyle \frac{18i+6i^{2}}{9+3i-3i-i^{2}}\qquad$ ...simplify. ($i^{2}=-1$) $=\displaystyle \frac{18i-6}{9+1}\qquad$ ...simplify. $=\displaystyle \frac{18i-6}{10}$
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.