find the lcd o this rational algebraic expression 3x/x-4,2x/x+4
To find the least common denominator (LCD) for the rational algebraic expression 3x/(x-4) and 2x/(x+4), follow these steps:
Step 1: Determine the denominators
The denominators in this case are (x-4) and (x+4).
Step 2: Find the factors of each denominator
The factors of (x-4) are (x-4) itself.
The factors of (x+4) are (x+4) itself.
Step 3: Identify common factors
In this case, there are no common factors since the denominators are different.
Step 4: Multiply the denominators together
The LCD is found by multiplying the denominators together: (x-4)(x+4).
Therefore, the least common denominator (LCD) for the rational algebraic expression 3x/(x-4) and 2x/(x+4) is (x-4)(x+4).