Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 5 - Section 5.3 - Addition and Subtraction of Polynomials - Exercise - Page 221: 44

Answer

$-16y^3 - 54y^2 +y - 12$

Work Step by Step

We simplify by removing the parentheses and then add the like terms as follows: $$ (-16y^3 - 42y^2 - 3y - 5) - (12y^2 - 4y + 7)\\ =-16y^3 - 42y^2 - 3y - 5- 12y^2 + 4y - 7\\ =-16y^3 - 54y^2 +y - 12 .$$
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