Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 4 - Section 4.4 - Multiplying Polynomials - 4.4 Exercises - Page 305: 100

Answer

The solution below shows that $(x+y)^5$ is not equal to $x^5+y^5.$

Work Step by Step

Substituting $x=3$ and $y=4,$ the given expression, $ (x+y)^5 ,$ evaluates to \begin{array}{l}\require{cancel} (3+4)^5 \\\\= (7)^5 \\\\= 16,807 ,\end{array} while the given expression, $ x^5+y^5 ,$ evaluates to \begin{array}{l}\require{cancel} 3^5+4^5 \\\\= 243+1024 \\\\= 1,270 .\end{array}
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