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  • 20-01-2022
  • Mathematics
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Find the LCD of the rational expressions in the list.

Find the LCD of the rational expressions in the list class=

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sqdancefan
sqdancefan sqdancefan
  • 20-01-2022

Answer:

  5x^3 -80x = 5x(x -4)(x +4)

Step-by-step 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

_____

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)

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