## Elementary Algebra

Published by Cengage Learning

# Chapter 7 - Algebraic Fractions - 7.1 - Simplifying Algebraic Fractions - Problem Set 7.1: 22

#### Answer

$-2n$

#### Work Step by Step

We first factor the numerator of the fraction: Step 1: $\frac{2n^{2}-8n}{4-n}$ Step 2: $\frac{-2n(4-n)}{4-n}$ Finally, we cancel out the common factor of $4-n$ to obtain: Step 3: $\frac{-2n}{1}$ Step 4: $-2n$

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