## Algebra 1: Common Core (15th Edition)

Published by Prentice Hall

# Chapter 8 - Polynomials and Factoring - 8-7 Factoring Special Cases - Practice and Problem-Solving Exercises - Page 527: 41

#### Answer

Rewrite the absolute value of both terms as squares, from which you determine the square roots of each of these squares. The factorization is the product of two sets of parentheses containing binomials. The first is the sum of square roots of the squares. The second is the difference of the square roots of the squares.

#### Work Step by Step

Rewrite the absolute value of both terms as squares, from which you determine the square roots of each of these squares. The factorization is the product of two sets of parentheses containing binomials. The first is the sum of square roots of the squares. The second is the difference of the square roots of the squares. Ex. 1: $s^{2}-16=(s)^{2}-(4)^{4}$ ... the square roots are s and 4... $=(s-4)(s+4)$ Ex. 2: $9z^{2}-25=(3z)^{2}-(5)^{2}$ ... the square roots are 3z and 5... $=(3z-5)(3z+5)$

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