Question

Tutorial ExerciseRewrite each of the following rational expressions in terms of their least common denominator.x + 2x - 7Step 1 of 2Identify the least common denominator of the two given rational expressions.The two given rational expressions each have binomial denominators. The denominators are (x + 2) and(x - 7). Recall that the least common denominator, or LCD, of two rational expressions is given by the LCMof their denominators.The least common multiple, or LCM, of two binomials with no common factors is their product. Thus, the LCMof the denominators (x + 2) and (x - 7) is given by the following expression.(x + 2)(Thus, the LCD of the given rational expressions is given by the following.(x+2)Submit Skip (you cannot come back).

Answer 1

The given rational expressions are,

`(7)/(x+2),\text{ }(2)/(x-7)`

The LCD of two rational expressions is equal to the LCM of its denomiantors.

It is given that the LCM of two binomials with no common factors is their product. Thus, the LCM of the denominators (x+2) and (x+7) is given by the expression,

(x+2)(x-7)

Thus, the LCD of the given rational expressions is given by,

(x+2)(x-7)