College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 1 - Section 1.3 - Complex Numbers - 1.3 Exercises - Page 103: 66

Answer

$-120-35i$

Work Step by Step

Use the FOIL method to multiply the binomials. $-5i(16-12i-12i+9i^2)$ Substitute $-1$ for $i^2$. Also, add/subtract like terms. $-5i(16-24i+9(-1))$ Simplify. $-5i(7-24i)$ Distribute through the parenthesis. $-35i+120i^2$ Substitute $-1$ for $i^2$ And simplify. $-120-35i$
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