The LCD of …
A. 3
B. 3(x-5)^2
C. 3(x-5)
D.x-5

Answer: [tex](c)[/tex]
Step-by-step explanation:
Given
Fractions are[tex]\dfrac{x^2-5x+6}{x-5}[/tex] and [tex]\dfrac{x^2-1}{3(x-5)}[/tex]
LCD of the two fractions is the least common denominator
[tex]\text{LCD}\{x-5,3(x-5)\}=3(x-5)[/tex]
Thus, option (c) is correct.