Questions: Identify the terms as like or unlike. 2, 8x, -21 Choose the correct answer. The terms are like terms. The terms are unlike terms.

Identify the terms as like or unlike. 2, 8x, -21 Choose the correct answer. The terms are like terms. The terms are unlike terms.

Solution

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Solution Steps

To determine if the terms are like or unlike, we need to check if they have the same variable part. In this case, we will compare the terms \(2\), \(8x\), and \(-21\).

Step 1: Identify the Terms

We are given the terms \(2\), \(8x\), and \(-21\).

Step 2: Determine the Variable Parts
  • The term \(2\) is a constant and has no variable part.
  • The term \(8x\) has a variable part \(x\).
  • The term \(-21\) is a constant and has no variable part.
Step 3: Compare the Variable Parts

To determine if the terms are like or unlike, we need to check if they have the same variable part:

  • \(2\) and \(-21\) are constants and have no variable part.
  • \(8x\) has a variable part \(x\).

Since not all terms have the same variable part, the terms are unlike.

Final Answer

\(\boxed{\text{The terms are unlike terms.}}\)

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