College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter R - Review Exercises: 54

Answer

$y^6-18y^2+8y$

Work Step by Step

$\bf{\text{Solution Outline:}}$ To simplify the given expression, $ 2(3y^6-9y^2+2y)-(5y^6-4y) ,$ use the Distributive Property and then combine like terms. $\bf{\text{Solution Details:}}$ Using the Distributive Property which is given by $a(b+c)=ab+ac,$ the expression above is equivalent to \begin{array}{l}\require{cancel} 2(3y^6)+2(-9y^2)+2(2y)-1(5y^6)-1(-4y) \\\\= 6y^6-18y^2+4y-5y^6+4y .\end{array} By combining like terms, the expression above is equivalent to \begin{array}{l}\require{cancel} (6y^6-5y^6)-18y^2+(4y+4y) \\\\= y^6-18y^2+8y .\end{array}
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