Algebra 1: Common Core (15th Edition)

Published by Prentice Hall

Chapter 8 - Polynomials and Factoring - 8-1 Adding and Subtracting Polynomials - Practice and Problem-Solving Exercises - Page 490: 43

Answer

error: removing the second parentheses. answer= $x^{2}+4x+9$

Work Step by Step

In the first step, the error is in removing the second parentheses. It should be $(4x^{2}-x+3)-(3x^{2}-5x-6)\\ =4x^{2}-x+3-3x^{2} \color{red}{ +5x+6}=$ ...gather like terms. $=4x^{2}-3x^{2}\quad-x+5x\quad+3+6$ $=x^{2}+4x+9$

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