Question

which of the following are like terms? 12x -8 3x^2 15x -x x^3

Explanation:

Step1: Recall like - terms definition

Like terms have the same variable(s) raised to the same power(s).

Step2: Analyze each term

• For \(12x\), it has variable \(x\) to the first power.
• \(-8\) is a constant.
• \(3x^{2}\) has variable \(x\) to the second power.
• \(15x\) has variable \(x\) to the first power.
• \(-x\) has variable \(x\) to the first power.
• \(x^{3}\) has variable \(x\) to the third power.
• The terms \(12x\), \(15x\) and \(-x\) all have the variable \(x\) raised to the power of 1.

Answer:

12x, 15x, -x