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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 8: Q 8.63 (page 935)

Add: $\frac{9 x + 14}{x + 7} + \frac{x^{2}}{x + 7}$

Short Answer

Expert verified

The addition is $x + 2$ .

Step by step solution

01

Given Information

The given expression is, $\frac{9 x + 14}{x + 7} + \frac{x^{2}}{x + 7}$ .

02

Simplification

Make common denominator:

$\frac{x^{2} + 9 x + 14}{x + 7}$

Factor numerator:

$\frac{(x + 7) (x + 2)}{x + 7}$

Cancel like factor from numerator and denominator:

$x + 2$

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