Question

The LCD of …

A. 3
B. 3(x-5)^2
C. 3(x-5)
D.x-5

Answer 1

Answer:
`(c)`

Explanation:

Given

Fractions are
`(x^2-5x+6)/(x-5)` and
`(x^2-1)/(3(x-5))`

LCD of the two fractions is the least common denominator

`\text{LCD}\{x-5,3(x-5)\}=3(x-5)`

Thus, option (c) is correct.