Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 5 - Section 5.4 - Adding and Subtracting Polynomials - Practice: 7

Answer

$13x-9$

Work Step by Step

Substract $(3x+1)$ from the sum of $(4x-3)$ and $(12x-5)$ This expression can be translated to: $[(4x-3)+(12x-5)]-(3x+1)$ First, evaluate the sum inside the brackets: $[(4+12)x-(5+3)]-(3x+1)=(16x-8)-(3x+1)=...$ Remove both parentheses. To remove the second one, change the sign of every term inside it: $...=16x-8-3x-1=...$ Simplify by combining like terms: $...=(16-3)x-(8+1)=13x-9$
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