Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 8 - Polynomials and Factoring - 8-1 Adding and Subtracting Polynomials - Practice and Problem-Solving Exercises: 40

Answer

$-6w^{4} +2w^{3} -3w^{2} +w$

Work Step by Step

In order to subtract monomials, we combine like terms, but we distribute the negative to all of the terms past the subtraction sign. Like terms are terms that have the same variable raised to the same power. Note, by this definition, $3xy^{2}$ and $9xy^{2}$ are like terms, for these two terms have the same two variables raised to the same powers. Additionally, when we combine like terms, we add and subtract them just like we add and subtract numbers.Thus, we combine like terms to obtain the answer: $-6w^{4} +2w^{3} -3w^{2} +w$
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