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 - 8-4 Multiplying Soecial Cases - Practice and Problem-Solving Exercises - Page 508: 47



Work Step by Step

$(r^{2}+3s)(r^{2}-3s)$ ...identify which terms correspond to $a $ and $b $ in the rule for the product of a sum and difference ($(a+b)(a-b)=a^{2}-b^{2}$). $a=r^{2},\ b=3s$ ...substitute for $a $ and $b $ in the rule $(r^{2}+3s)(r^{2}-3s)=(r^{2})^{2}-(3s)^{2}$ ...simplify. =$r^{4}-9s^{2}$
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