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In Mathematics / High School | 2014-03-16

What is the least common denominator (LCD) of \(x-3\), \(x+3\), and [tex]x^2-9[/tex]?

Asked by converse531

Answer (2)

The least common denominator is one, since all of these numbers are actually whole numbers. They're actually all 1 x − 3 ​ 1 x + 3 ​ 1 x 2 − 9 ​ If you mean the greatest common factor, then it's obviously x

Answered by Edmund | 2024-06-10

The least common denominator (LCD) of the expressions x − 3 , x + 3 , and x 2 − 9 is x 2 − 9 . This is because x 2 − 9 factors to ( x − 3 ) ( x + 3 ) , which includes both of the other expressions. Therefore, the LCD includes all unique factors.
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Answered by Edmund | 2025-03-05