Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 6 - Section 6.4 - Factoring Special Forms - Concept and Vocabulary Check - Page 453: 7


$- \text{ } \text{ } \text{ } 6$

Work Step by Step

RECALL: The perfect square trinomial $a^2-2ab+b^2$ can be factored using the formula: $a^2-2ab+b^2=(a-b)^2$ The given trinomial can be written as: $=x^2-2(x)(6)+6^2$ This trinomial above is a perfect square trinomial which can be factored using the formula given above. Factor using the formula above with $a=x$ and $b=6$ to obtain: $=(x-6)^2$ Thus, the missing expression in the given statement is: $- \text{ } \text{ } \text{ } 6$
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