Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Section P.5 - Factoring Polynomials - Exercise Set: 53

Answer

$(2x+1)^2$

Work Step by Step

RECALL: A perfect square trinomial can be factored using either of the following formulas. (i) $a^2+2ab+b^2=(a+b)^2.$ (i) $a^2-2ab+b^2=(a-b)^2.$ The given perfect square trinomial can be written as $(2x)^2+2(2x)(1)+1^2.$ Factor using formula (i) above with $a=2x$ and $b=1$ to obtain $(2x+1)^2.$
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