Answer
$(x+1)(x-1)(x^4+x^2+1)$
Work Step by Step
Step 1. $x^6-1=(x^2)^3-1=(x^2-1)(x^4+x^2+1)$
Step 2. $(x^2-1)(x^4+x^2+1)=(x+1)(x-1)(x^4+x^2+1)$
Step 3. Thus $x^6-1=(x+1)(x-1)(x^4+x^2+1)$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter R - Review of Basic Concepts - R.4 Factoring Polynomials - R.4 Exercises - Page 45: 126
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
