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What is the LCD of this math problem? `(x+5)/(x^2+7x+12) +(x^2+8x+15)/(x^2+4x+3)`

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monique06 | (Level 3) Valedictorian

Posted May 16, 2013 at 11:36 PM via web

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What is the LCD of this math problem?

`(x+5)/(x^2+7x+12) +(x^2+8x+15)/(x^2+4x+3)`

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mjripalda | High School Teacher | (Level 1) Senior Educator

Posted May 17, 2013 at 1:38 AM (Answer #1)

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`(x+5)/(x^2+7x+12)+(x^2+8x+15)/(x^2+4x+3)`

To determine the LCD, factor the denominators.

`=(x+5)/((x+3)(x+4))+(x^2+8x+15)/((x+3)(x+1))`

Then take the product of all difft factors present in the denominators which are (x+3), (x+4) and (x+1).

Hence, the LCD of the two rational expressions is `(x+3)(x+4)(x+1)`  .

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