Prealgebra (7th Edition)

Published by Pearson
ISBN 10: 0321955048
ISBN 13: 978-0-32195-504-3

Chapter 4 - Section 4.6 - Complex Fractions and Review of Order of Operations - Exercise Set: 46

Answer

$-\frac{5}{16}$

Work Step by Step

$(-\frac{1}{2})^{2}-(\frac{3}{4})^{2}$ $=(-\frac{1}{2})(-\frac{1}{2})-(\frac{3}{4})(\frac{3}{4})$ $=--(\frac{1}{2}\times\frac{1}{2})-(\frac{3}{4}\times\frac{3}{4})$ $=(\frac{1}{2}\times\frac{1}{2})-(\frac{3}{4}\times\frac{3}{4})$ $=\frac{1}{4}-\frac{9}{16}$ $=\frac{4}{16}-\frac{9}{16}$ $=-\frac{5}{16}$
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