Which of the following is a like term with 2m²?

• A. 5m²
• B. 3m
• C. 2m
• D. 4m

Answer: (A)

To determine which term is a like term with (2m^2), you need to consider the definition of like terms. Like terms are terms that have the same variable raised to the same power. In this case, (2m^2) has the variable (m) raised to the power of 2.

The correct answer is (5m^2) because it shares the same variable (m) and the same exponent (which is 2). Both terms are therefore like terms, and they can be combined by adding their coefficients when performing algebraic operations.

In contrast, the other terms—(3m), (2m), and (4m)—are not like terms with (2m^2) because they have the variable (m) raised to the first power, rather than the second. Since they do not share the same exponent, they cannot be combined with (2m^2).