Which of the following are terms in this expression? Select all that apply.

Question

a+b3c2+4a2b3
4a^2b^3
B^3c^2
4a

Answer 1

To identify the terms in the expression \( a + b^3c^2 + 4a^2b^3 \), we first need to understand what constitutes a term in an algebraic expression.

In this case, the expression can be separated into distinct parts, which are the terms:

1. \( a \)
2. \( b^3c^2 \)
3. \( 4a^2b^3 \)

Now, let's analyze the options provided:

1. 4a^2b^3 - This is exactly one of the terms in the expression.
2. B^3c^2 - This is \( b^3c^2 \) but written with an uppercase "B." In mathematics, variable names are case-sensitive, so this does not match the term \( b^3c^2 \) in the expression.
3. 4a - This expression does not appear as a standalone term in the original expression.

Thus, the correct selection of terms from the expression is:

• 4a^2b^3

The other options do not match any terms in the original expression.