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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 8: Q 8.67 (page 936)

Subtract $\frac{n^{2}}{n - 4} - \frac{n + 12}{n - 4}$

Short Answer

Expert verified

The required expression is $n + 3 .$

Step by step solution

01

Given information

The given expression is $\frac{n^{2}}{n - 4} - \frac{n + 12}{n - 4}$

02

Simplifying the given expression

Make the denominator same:

$\frac{n^{2} - n - 12}{n - 4}$

Factor the numerator:

$\frac{(n - 4) (n + 3)}{n - 4}$

Cancel the common factor:

$n + 3 .$

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