Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 7 - Cumulative Review: 30

Answer

Answer: $x^{2}$ + 18x + 81

Work Step by Step

$(x + 9 )^{2}$ This will result in a perfect square trinomial, which can be generalized as $(a + b )^{2}$ = $a^{2}$ + 2ab + $b^{2}$. Here, a = x, and b = 9. Thus, $(x + 9 )^{2}$ = $x^{2}$ + 2(9)(x) + $9^{2}$ = $x^{2}$ + 18x + 81.
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