## Introductory Algebra for College Students (7th Edition)

Published by Pearson

# Chapter 5 - Section 5.1 - Adding and Subtracting Polynomials - Exercise Set: 31

#### Answer

-3$y^{6}$ + 8$y^{4}$ + $y^{2}$

#### Work Step by Step

(-2$y^{6}$+3$y^{4}$ - $y^{2}$) + (-$y^{6}$ +5 $y^{4}$ +2$y^{2}$) The like terms are -2$y^{6}$ and -$y^{6}$ (both containing $y^{6}$) , 3$y^{4}$ and 5 $y^{4}$ (both containing $y^{4}$) , -$y^{2}$ and 2$y^{2}$ (both containing $y^{2}$). We begin by grouping these pairs of like terms =(-2$y^{6}$ -$y^{6}$) + (3$y^{4}$ + 5 $y^{4}$) + (-$y^{2}$ + 2$y^{2}$) = -3$y^{6}$ + 8$y^{4}$ + $y^{2}$

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