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: 33

Answer

$-\frac{2}{9}$

Work Step by Step

When $x=-\frac{1}{3}$, y=$\frac{2}{5}$,and $z=\frac{5}{6}$ $x^{2}-yz$ $=(-\frac{1}{3})^{2}-(\frac{2}{5}\times\frac{5}{6})$ $=[(-\frac{1}{3})\times(-\frac{1}{3})]-(\frac{1}{1}\times\frac{1}{3})$ $=(\frac{1}{3}\times\frac{1}{3})-\frac{1}{3}$ $=\frac{1}{9}-\frac{1}{3}$ $=\frac{1}{9}-\frac{3}{9}$ $=-\frac{2}{9}$
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