To classify the expression x³y + 5xyz, we first need to break it down into its individual components.
1. **Identifying Terms:** The expression consists of two terms:
- x³y
- 5xyz
2. **Degree of Each Term:** The degree of a term is determined by the sum of the exponents of the variables in that term.
- For the term x³y: The degree is 3 (from x) + 1 (from y) = 4.
- For the term 5xyz: The degree is 1 (from x) + 1 (from y) + 1 (from z) = 3.
3. **Overall Degree of the Expression:** The overall degree of the expression is the highest degree among its terms. Here, we have:
- Degree of x³y = 4
- Degree of 5xyz = 3
Thus, the overall degree of the expression x³y + 5xyz is 4.
4. **Classification by Term Type:** Both terms in the expression are monomials because they each consist of only one term. Monomials are defined as algebraic expressions that have only one term.
In summary, we classify the expression x³y + 5xyz as:
- Degree: 4
- Type of Terms: Monomials