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