Question

Which factors compose the least common denominator for this difference?

1) 11x/x²
2) 4z-12
3) 7
4) 222-4x

Answer 1

The least common denominator (LCD) for the given expressions is 2(z-3).

Step-by-step explanation:

The least common denominator (LCD) is the smallest multiple that two or more denominators have in common. In this case, we need to find the LCD for the given expressions:

1. 11x/x²
2. 4z-12
3. 7
4. 222-4x

To find the LCD, we need to factor each expression:

1. The expression 11x/x² doesn't have any common factors with the other expressions.
2. The expression 4z-12 can be factored as 4(z-3).
3. The expression 7 is already in its simplest form.
4. The expression 222-4x can be factored as 2(111-2x).

Now, we can identify the common factors among the factored expressions, which are 2 and (z-3). Therefore, the least common denominator for the given expressions is 2(z-3).