Question

Find the least common denominator for these

two rational expressions.
n/n^2-1
3n/n^2+8n+7

Answer 1

(n -1)(n +1)(n +7) = x³ +7x² -x -7

Explanation:

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

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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