Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 10 - Exponents and Radicals - 10.8 The Complex Numbers - 10.8 Exercise Set: 57

Answer

$50$

Work Step by Step

Using $(a+b)(a-b)=a^2-b^2$, or the product of the sum and difference of like terms, and using the properties of radicals, the given expression, $ (-7+i)(-7-i) ,$ simplifies to \begin{array}{l}\require{cancel} (-7)^2-(i)^2 \\\\= 49-i^2 \\\\= 49-(-1) \\\\= 49+1 \\\\= 50 .\end{array}
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