Answer
$x^{4}+4x^{2}+4$
Work Step by Step
... expand the square of the sum with $(a+b)^{2}=a^{2}+2ab+b^{2}$
$(x^{2}+2)^{2}=(x^{2})^{2}+2(x^{2})(2)+(2)^{2}\quad$... use the rule: $(a^{m})^{n}=a^{mn}$
= $x^{4}+4x^{2}+4$
Precalculus (6th Edition) Blitzer
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13446-914-3
ISBN 13:
978-0-13446-914-0
Chapter P - Mid-Chapter Check Point - Page 71: 24
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