## Algebra 1

Published by Prentice Hall

# Chapter 8 - Polynomials and Factoring - 8-4 Multiplying Special Cases - Practice and Problem-Solving Exercises - Page 496: 47

#### Answer

$r^{4} - 9s^{2}$

#### Work Step by Step

We use the formula for the difference of squares to apply to this question. The difference of squares formula is: $(a-b) (a+b) = a^{2} - b^{2}$ In the given formula let $r^{2}$ represents a and 3s represents b. $(r^{2}-3s) (r^{2}+3s) = (r^{2})^{2} - (3s)^{2}$ = $r^{4} - 9s^{2}$

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