Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 5 - Section 5.5 - Factoring Special Forms - Concept and Vocabulary Check: 9

Answer

$4x$

Work Step by Step

The given expression can be written as: $=(4x)^2+2(4x)(5y)+(5y)^2$ RECALL: The perfect square trinomial $a^2+2ab+b^2$ can be factored as $(a+b)^2$. Factor the trinomial using the formula above with $a=4x$ and $b=5y$ to obtain: $=(4x+5y)^2$ Thus, the missing expression in the given statement is: $4x$
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