Algebra: A Combined Approach (4th Edition)

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

Chapter 5 - Section 5.6 - Special Products - Exercise Set: 14

Answer

$x^{2}-\frac{1}{5}x-\frac{2}{25}$

Work Step by Step

Using the FOIL method, $(x-\frac{2}{5})(x+\frac{1}{5})=(x)(x)+(x)(\frac{1}{5})+(-\frac{2}{5})(x)+(-\frac{2}{5})(\frac{1}{5})=x^{2}+\frac{1}{5}x+(-\frac{2}{5}x)+(-\frac{2}{25})=x^{2}+\frac{1}{5}x-\frac{2}{5}x-\frac{2}{25}=x^{2}+(\frac{1}{5}-\frac{2}{5})x-\frac{2}{25}=x^{2}-\frac{1}{5}x-\frac{2}{25}$.
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