Question

Which of the following are terms in this expression? Select all that apply.
a+b3c2+4a2b3
4a^2b^3
B^3c^2
4
a

Answer 1

To identify the terms in the expression \( a + b^3c^2 + 4a^2b^3 \), we need to recognize that a term is typically a single component that can be a constant, a variable, or a product of constants and variables.

The expression can be broken down into its individual components:

1. **\( a \)**: This is a term.
2. **\( b^3c^2 \)**: This is a term.
3. **\( 4a^2b^3 \)**: This is a term.

Now, let's check the options provided:

- **\( 4a^2b^3 \)**: This is a part of the expression, so it is a term.
- **\( b^3c^2 \)**: This is also a part of the expresssion, so it is a term.
- **\( 4 \)**: This is just a constant and is not listed as a term in the expression since all terms are combined with variables.
- **\( a \)**: This is a term in the expression as previously noted.

Thus the selected terms from the list that are part of the expression \( a + b^3c^2 + 4a^2b^3 \) are:

- **\( 4a^2b^3 \)**
- **\( b^3c^2 \)**
- **\( a \)**

So the answers are **\( 4a^2b^3 \)**, **\( b^3c^2 \)**, and **\( a \)**.