Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter R - Review of Basic Concepts - R.3 Polynomials - R.3 Exercises: 53

Answer

$$6m^{4}-2m^{3}-7m^{2}-4m$$

Work Step by Step

Initial equation: $$(6m^{4}-3m^{2}+m)-(2m^{3}+5m^{2}+4m)+(m^{3}-m)$$ Begin by distributing the signs located between the sets of parenthesis, the $-$ going to the second set, and the $+$ going to the third set: $$6m^{4}-3m^{2}+m-2m^{3}-5m^{2}-4m+m^{3}-m$$ Then combine like terms: $$6m^{4}-2m^{3}-7m^{2}-4m$$
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