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djverab [1.8K]
2 years ago
5

What is the greatest common factor of the numerator of ?

Mathematics
1 answer:
Annette [7]2 years ago
4 0

The greatest common factor of the numerator and denominator of the rational expression is x - 4

<h3>How to determine the greatest common factor?</h3>

The fraction expression is given as:

\frac{5x-20}{x^2-2x-8}

Factorize the numerator and the denominator

\frac{5x-20}{x^2-2x-8} = \frac{5(x-4)}{(x- 4)(x + 2)}

Cancel out the common factor

\frac{5x-20}{x^2-2x-8} = \frac{5}{(x + 2)}

The common factor that was canceled out is x - 4

Hence, the greatest common factor of the numerator and denominator of the rational expression is x - 4

Read more about greatest common factors at:

brainly.com/question/10076354

#SPJ1

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