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: 65

Answer

$12+9i$

Work Step by Step

Use the FOIL method to multiply the binomials. $3i(4-2i-2i+i^2)$ Substitute $-1$ for $i^2$. Also, add/subtract like terms. $3i(4-4i+(-1))$ Simplify. $3i(3-4i)$ Distribute through the parenthesis. $9i-12i^2$ Substitute $-1$ for $i^2$ And simplify. $12+9i$
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