Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 8 - Polynomials and Factoring - Mid-Chapter Quiz - Page 510: 19

Answer

$k^{2}-9$

Work Step by Step

$(k-3)(k+3)=$ ...identify which terms correspond to $a $ and $b $ ...in the rule for the product of a sum and difference ($(a+b)(a-b)=a^{2}-b^{2}$) $a=k,\ b=3$ ...substitute for $a $and $b $ in the rule $(k-3)(k+3)=k^{2}-3^{2}$ ...simplify. =$k^{2}-9$
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