College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.4 - Page 61: 15


$x^3+1$; Degree 3

Work Step by Step

$$(x+1)(x^2-x+1)$$ $$=(x\times x^2)+(x\times(-x))+(x\times1)+(1\times x^2)+(1\times(-x))+(1\times1)$$ $$=x^3-x^2+x+x^2-x+1$$ $$=x^3+1$$
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