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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 137 (page 940)

Add $\frac{p^{2} + 10 p}{p + 2} + \frac{16}{p + 2}$

Short Answer

Expert verified

The required expression is $p + 8$ .

Step by step solution

01

Given information

The given expression is $\frac{p^{2} + 10 p}{p + 2} + \frac{16}{p + 2}$

02

Simplifying the expression

The denominators are same, combining the terms:

$\frac{p^{2} + 10 p + 16}{p + 2}$

Factorizing the numerator:

$\frac{(p + 8) (p + 2)}{p + 2}$

Cancel the common factor from the numerator and denominator:

$p + 8$

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