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 - Page 379: 66

Answer

$m^{2}+\frac{1}{9}m-\frac{2}{81}$

Work Step by Step

$(m+\frac{2}{9})(m-\frac{1}{9})=m(m-\frac{1}{9})+\frac{2}{9}(m-\frac{1}{9})=(m)(m)+(m)(-\frac{1}{9})+(\frac{2}{9})(m)+(\frac{2}{9})(-\frac{1}{9})=m^{2}+\frac{2}{9}m-\frac{1}{9}m-\frac{2}{81}=m^{2}+\frac{1}{9}m-\frac{2}{81}$
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