Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 6 - Review Exercises - Page 479: 27

Answer

$(2x + 1)(2x - 1)$

Work Step by Step

To factor the difference of two squares, we use the formula: $$A^2 - B^2 = (A + B)(A - B)$$ For this binomial, we take the square root of the leading coefficient to get $A = 2$ and the square root of the constant to get $B = 1$. So we now plug these two values into the formula for factoring the binomial: $(2x + 1)(2x - 1)$
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