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  • 11-05-2022
  • Mathematics
contestada

Find the least common denominator for these
two rational expressions.
n/n^2-1
3n/n^2+8n+7

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 11-05-2022

Answer:

     (n -1)(n +1)(n +7) = x³ +7x² -x -7

Step-by-step explanation:

The least common denominator is the product of the unique denominator factors.

__

The factors of the denominator of n/(n^2-1) are (n -1)(n +1).

The factors of the denominator of 3n/(n^2+8n+7) are (n +7)(n +1).

The product of the unique factors is ...

  (n -1)(n +1)(n +7) = x³ +7x² -x -7 . . . . least common denominator

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