To determine which expression is a factor of 2xy, 6x, 3y, and 9, we first need to identify a common factor among these expressions.
Let’s break down each expression:
- 2xy: This expression is made up of the factors 2, x, and y.
- 6x: This expression has the factors 2, 3, and x.
- 3y: This expression consists of the factors 3 and y.
- 9: The factors of 9 are 3 and 3 (or 3²).
Now, let’s look for common factors. The number 3 appears in 6x, 3y, and 9 while the number 2 appears in both 2xy and 6x. The variable x appears in both 2xy and 6x, while y appears in 2xy and 3y.
Based on this analysis, the common factor for the numerical parts is 3 and for the variable parts, we can include x if we are only interested in expressions including x. Thus, simple expressions that can act as factors include:
- 3
- x (if it’s included in the context)
- y (if it’s included in the context)
In conclusion, the expression 3 is a common factor of all given expressions, while x or y can be factors depending on the context of use.