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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 7: Q.484. (page 742)

Simplify $\frac{6 x - 18}{x^{2} - 9}$ .

Short Answer

Expert verified

The solution is $\frac{6}{x + 3}$ .

Step by step solution

Step 1. Given information.

The given rational expression is $\frac{6 x - 18}{x^{2} - 9}$ .

Step 2. Simplify the rational expression.

$\frac{6 x - 18}{x^{2} - 9} = \frac{6 (x - 3)}{(x - 3) (x + 3)} (R e m o v e t h e c o m m o n f a c t o r f r o m n u m e r a t o r a n d d e n o m i n a t o r) \frac{6 x - 18}{x^{2} - 9} = \frac{6}{x + 3}$

Step 3. Simplified answer.

Hence, the simplified expression is $\frac{6}{x + 3}$ .

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91影视

Simplify6x-18x2-9.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Simplify the rational expression.

Step 3. Simplified answer.

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Simplify $\frac{6 x - 18}{x^{2} - 9}$ .