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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 143 (page 940)

Add $\frac{2 w^{2}}{w^{2} - 16} + \frac{8 w}{w^{2} - 16}$

Short Answer

Expert verified

The required expression is $\frac{2 w}{w - 4}$

Step by step solution

Given information

The given expression is $\frac{2 w^{2}}{w^{2} - 16} + \frac{8 w}{w^{2} - 16}$

Simplifying the expression

The denominators are same, combining the terms:

$\frac{2 w^{2} + 8 w}{w^{2} - 16}$

Factorizing the numerator and denominator:

$\frac{2 w (w + 4)}{(w - 4) (w + 4)}$

Cancelling the common terms from numerator and denominator:

$\frac{2 w}{(w - 4)}$

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91影视

Add2w2w2-16+8ww2-16

Short Answer

Step by step solution

Given information

Simplifying the expression

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Add $\frac{2 w^{2}}{w^{2} - 16} + \frac{8 w}{w^{2} - 16}$