Answer
$a^{2}$+18a+81
Work Step by Step
In order to simplify $(a+9)^{2}$ we must apply the rule that states that
$(x+y)^{2}$=$x^{2}$+2xy+$y^{2}$, and we'll set x=a and y=9. Therefore,
$(a+9)^{2}$=$a^{2}$+2(a)(9)+$9^{2}$
=$a^{2}$+18a+81
Algebra 1
by Hall, Prentice
Published by
Prentice Hall
ISBN 10:
0133500403
ISBN 13:
978-0-13350-040-0
Chapter 8 - Polynomials and Factoring - 8-6 Factoring ax(squared) + bx + c - Mixed Review - Page 510: 64
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