Precalculus (6th Edition)

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

Chapter R - Review of Basic Concepts - Chapter R Test Prep - Review Exercises: 54

Answer

$\color{blue}{y^6-18y^2+8y}$

Work Step by Step

Distribute $2$ to obtain: $=2(3y^6)-2(9y^2)+2(2y)-(5y^6-4y) \\=6y^6-18y^2+4y-(5y^6-4y)$ Subtract each term of the binomial to obtain: $=6y^6-18y^2+4y-5y^6-(-4y) \\=6y^6-18y^2+4y-5y^6+4y$ Combine like terms to obtain: $=(6y^6-5y^6)-18y^2+(4y+4y) \\=(6-5)y^6-18y^2+(4+4)y \\=\color{blue}{y^6-18y^2+8y}$
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