Answer
$20-15i$
Work Step by Step
Combine using difference of squares.
$(4-i^2)(4+3i)$
Use the FOIL method to multiply the binomials.
$16-12i-4i^2+3i^3$
Substitute $-1$ for $i^2$.
$16-12i-4(-1)+3i(-1)$
Add/subtract like terms.
$20-15i$
College Algebra (11th Edition)
by Lial, Margaret L.; Hornsby John; Schneider, David I.; Daniels, Callie
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: 67
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