Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 6 - Factoring, Solving Equations, and Problem Solving - 6.2 - Factoring the Difference of Two Squares - Problem Set 6.2: 11

Answer

$ (1-2n)(1+2n)$

Work Step by Step

The given expression can be written as: $=1^2-(2n)^2$ RECALL: A difference of two squares can be factored using the formula: $x^2-y^2=(x-y)(x+y)$ Use the formula above with $x=1$ and $y=2n$ to obtain: $= (1-2n)(1+2n)$
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