Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Appendix A - Review - A.6 Rational Expressions - A.6 Assess Your Understanding - Page A54: 53

Answer

$(x-2)(x+2)(x+1)$

Work Step by Step

To find the least common multiple (LCM), we factor the polynomials completely and the LCM is the product of each of these factors raised to the greatest power that occurs in the polynomials. So, we have $$ x^2 - 4=(x-2)(x+2), \quad x^2 - x - 2=(x-2)(x+1) .$$ Thus, the LCM is $(x-2)(x+2)(x+1)$.
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