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 - 3.5 Special Factoring Techniques - 3.5 Exercises - Page 279: 23

Answer

prime; the sum of the two squares does not factor.

Work Step by Step

Kaitlin tried to apply the formula $a^2-b^2=(a+b)(a-b)$, but she used $a^2+b^2$ instead. Here, the sum of the two squares does not factor. Therefore, the binomial is prime. $16a^2+81$ prime; the sum of the two squares does not factor.
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