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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lemjay | High School Teacher | (Level 2) Senior Educator

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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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