College Algebra (6th Edition)

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: 53

Answer

$(2x+1)^{2}$

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 $4x^{2}+4x+1=(2x+1)^{2}$. In this case, $a=2x$ and $b=1$.
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