Answer
$(x-2)(x+2)(x-1)$
Work Step by Step
First, we factor each denominator as follows
$$x^2-4=(x-2)(x+2), \quad x^2-3x+2=(x-1)(x-2)$$
now LCM is given by
$$
(x-2)(x+2)(x-1)
$$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Appendix A - Review - A.8 Solving Equations - A.8 Assess Your Understanding - Page A70: 1
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