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Find the LCD of the rational expressions in the list.

Find the LCD of the rational expressions in the list.-example-1
User Neelabh Singh
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1 Answer

17 votes
17 votes

Answer:

5x^3 -80x = 5x(x -4)(x +4)

Explanation:

The denominator factors are ...

(x -4)(x +4)

x

5(4 -x) = -5(x -4)

The unique factors are 5, x, (x -4), (x +4). The LCD is the product of these:

5x(x^2 -16) = 5x^3 -80x

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Additional comment

When expressed over the LCD, the expressions are ...

5x^2/(5x^3 -80x), 20(x^2 -16)/(5x^3 -80x), -8x(x +4)/(5x^3 -80x)

User Simha
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