What is the LCD and sum of `2/(x^2-18)+2/(x+6)?`

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lemjay | High School Teacher | (Level 3) Senior Educator

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Note that LCD is the product of the different factors in the denominators.

Since x^-18 is not factorable, the LCD of the given rational expressions is `(x^2-18)(x+6)` .

To take the sum, express the fractions with same denominator. So, use the LCD as their new denominator.




Now that they have same denominators, proceed to add.


Hence, the sum is` (2x^2+2x-24)/((x^2-18)(x+6))` .

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