Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 3 - Exponents, Polynomials and Functions - Chapter Review Exercises - Page 288: 64



Work Step by Step

3r$^2$-48 3(r$^4$-16) Inside the parentheses is a difference of squares. If a represents the square root of the first term and b is the square root of the second term, then the factorization is (a+b)(a-b). $\sqrt {r^4}$=r$^2$ and $\sqrt {16}$=4. So the factorization is 3(r$^2$+4)(r$^2$-4). Inside the second set of parentheses is yet another difference of squares, it is factored the same way. $\sqrt {r^2}$=r and $\sqrt {4}$=2. So the factorization is 3(r$^2$+4)(r+2)(r-2).
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