Answer:
2x (x-1)
Step-by-step explanation:
We have to find the least common denominator of the fraction [tex]\frac{4}{x}+\frac{2x}{(x-1)}+ \frac{x+3}{2x}[/tex]
Least common denominator is the expression which should be divisible by all the denominators.
so, factors of x = 1. (x)
factors of (x-1) = 1. ( x-1 )
factors of 2x = 2. (x)
Therefore, expression which will be divisible by all denominators will be
= 2(x) (x-1)
= 2x (x-1)
2x (x-1) will be the least common denominator.
