can you answer this as soon as possible please just find the lcd of this rational algebraic expression
3x/x-4,2x/x+4
To find the LCD (Least Common Denominator) of the rational algebraic expression 3x/(x - 4) and 2x/(x + 4), follow these steps:
Step 1: Determine the factors of the denominators.
The denominator of the first expression, (x - 4), has one factor of (x - 4).
The denominator of the second expression, (x + 4), has one factor of (x + 4).
Step 2: Identify the common factors and their maximum count.
Since there are no common factors between the denominators (x - 4) and (x + 4), the maximum count of any common factor is 1.
Step 3: Determine the LCD.
The LCD is found by multiplying together the factors with their highest count. In this case, multiply (x - 4) and (x + 4) together to get the LCD.
LCD = (x - 4) * (x + 4)
So, the LCD of the rational algebraic expression 3x/(x - 4) and 2x/(x + 4) is (x - 4)(x + 4).
To find the least common denominator (LCD) of the rational algebraic expression 3x/(x-4) and 2x/(x+4), follow these steps:
Step 1: Find the denominator of each fraction.
The denominator of the first fraction is (x-4), and the denominator of the second fraction is (x+4).
Step 2: Factor each denominator.
(x-4) cannot be factored further as it is already in its simplest form.
(x+4) cannot be factored further as it is already in its simplest form.
Step 3: Determine the LCD.
The LCD is the product of all the unique factors of both denominators. In this case, the LCD is (x-4)(x+4).
Therefore, the LCD of the rational algebraic expression 3x/(x-4) and 2x/(x+4) is (x-4)(x+4).