Answer
False.
Work Step by Step
Use FOIL on the RHS:
$(3x-2)(x^{2}+2)=3x^{3}+6x-2x^{2}-4$
This does not equal the LHS of the given statement
(The terms $4$ and $6x$ have wrong signs)
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Appendix A - Review - A.3 Polynomials - A.3 Assess Your Understanding - Page A29: 7
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