Question

which of the following are terms in this expression? select all that apply. $3b^{2}c^{3}+7bc^{2}$ $b$ $3b^{2}c^{3}$ $7b$ $7bc^{2}$ submit

Explanation:

Step1: Recall the definition of a term in an algebraic expression.

In an algebraic expression, terms are the parts separated by addition or subtraction signs. For the expression \(3b^{2}c^{3}+7bc^{2}\), the terms are the two parts separated by the plus sign.

Step2: Identify each term.

• The first term is \(3b^{2}c^{3}\) (since it is the part before the plus sign).
• The second term is \(7bc^{2}\) (since it is the part after the plus sign).

The other options: \(b\) is not a term of this expression (it is a variable within the terms), and \(7b\) is not a term of this expression (the second term is \(7bc^{2}\), not \(7b\)).

Answer:

The correct terms are \(3b^{2}c^{3}\) and \(7bc^{2}\), so the correct options are:

• \(3b^{2}c^{3}\)
• \(7bc^{2}\)