Answer :
Final answer:
The only common factor among 7xy, 35x², and y³ is the number 7, as it is the only element that appears in all the terms provided.
Explanation:
To find the common factors of 7xy, 35x², and y³, we need to identify the factors that are present in all three terms. First, we look at the numerical coefficients and then the variable factors.
- The numerical coefficient that is common in both 7xy and 35x² is 7, given that 7 is a factor of 35 (35 = 7 × 5).
- Looking at the variable factors, we see that x is present in both 7xy and 35x². However, it is not present in y³, so x cannot be considered a common factor for all three terms.
- The variable y is present in 7xy and is also implied in y³ but not in every term, so it's not a common factor across all three.
Therefore, the only common factor among 7xy, 35x², and y³ is the number 7.
