#### 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.
$20-15i$

Published by
Pearson

ISBN 10:
0321671791

ISBN 13:
978-0-32167-179-0

$20-15i$

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