Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 5 - Section 5.3 - Special Products - Exercise Set: 64

Answer

$x^3+1$

Work Step by Step

Using the Distributive Property, the product of the given expression, $ (x+1)(x^2-x+1) ,$ is \begin{array}{l}\require{cancel} x(x^2)+x(-x)+x(1)+1(x^2)+1(-x)+1(1) \\\\= x^3-x^2+x+x^2-x+1 \\\\= x^3+(-x^2+x^2)+(x-x)+1 \\\\= x^3+1 .\end{array}
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