Answer
$3+4i$
Work Step by Step
Step 1: $(2+i)^{2}$
Step 2: $(2+i)(2+ii)$
Step 3: $2(2+i)+i(2+i)$
Step 4: $4+2i+2i+i^{2}$
Step 5: $4+4i+(-1)$
Step 6: $4+4i-1$
Step 7: $3+4i$
Trigonometry (10th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
0321671775
ISBN 13:
978-0-32167-177-6
Chapter 8 - Complex Numbers, Polar Equations, and Parametric Equations - Section 8.1 Complex Numbers - 8.1 Exercises - Page 358: 68
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