Answer
$(x+1)^{2}$
Work Step by Step
If $a$ and $b$ are real numbers, we know that $a^{2}+2ab+b^{2}=(a+b)^{2}$.
Therefore, we know that $x^{2}+2x+1=(x+1)^{2}$. In this case, $a=x$ and $b=1$.
College Algebra (6th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-32178-228-3
ISBN 13:
978-0-32178-228-1
Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.5 - Page 74: 49
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