## Geometry: Common Core (15th Edition)

Published by Prentice Hall

# Skills Handbook - Evaluating and Simplifying Expressions - Exercises - Page 890: 15

#### Answer

$-4$

#### Work Step by Step

We start with the given expression: $\frac{y^3-x}{x-y}$ We plug in the given values for $x$ and $y$: $\frac{(-3)^3-5}{5-(-3)}$ The order of operations states that first we perform operations inside grouping symbols, such as parentheses, brackets, and fraction bars. Then, we simplify powers. Then, we multiply and divide from left to right. Then, we add and subtract from left to right. We follow the order of operations to simplify: First, we must simplify powers above the fraction bar: $\frac{-27-5}{5-(-3)}$ Then, we subtract above the fraction bar: $\frac{-32}{5-(-3)}$ Next, we subtract below the fraction bar: $\frac{-32}{8}$ Finally, we divide: $-4$

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