Question

Find the least common denominator of 3/ (x^2-x-2) and -2/(x^2-16)

A. (x+2)(x−1)(x+4)(x−4)
B. (x+2)(x−1)
C. (x−1)(x+4)
D. (x+4)(x−4)

Answer 1

The least common denominator of the given fractions is (x+2)(x-1)(x+4)(x-4).

Step-by-step explanation:

To find the least common denominator of the fractions 3/(x^2-x-2) and -2/(x^2-16), we need to factor the denominators and identify the common factors. The first denominator can be factored as (x+2)(x-1), and the second denominator can be factored as (x+4)(x-4). The common factors are (x+2) and (x-1), so the least common denominator is (x+2)(x-1)(x+4)(x-4), which corresponds to option A.