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: 48

Answer

$-y^2 - 5y -4$

Work Step by Step

We simplify by removing the parentheses and then add the like terms as follows: $$ (y^2 - 2y +1)- (2y^2+ 3y + 5)\\ =y^2 - 2y +1- 2y^2- 3y -5\\ =-y^2 - 5y -4 .$$
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