Algebra: A Combined Approach (4th Edition)

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

Chapter 5 - Section 5.5 - Multiplying Polynomials - Exercise Set: 36

Answer

$x^{2}+\frac{1}{5}x-\frac{6}{25}$

Work Step by Step

$(x+\frac{3}{5})(x-\frac{2}{5})=x(x-\frac{2}{5})+\frac{3}{5}(x-\frac{2}{5})=(x)(x)+(x)(-\frac{2}{5})+(\frac{3}{5})(x)+(\frac{3}{5})(-\frac{2}{5})=x^{2}-\frac{2}{5}x+\frac{3}{5}x-\frac{6}{25}=x^{2}+\frac{1}{5}x-\frac{6}{25}$
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