When combining like terms, what should you consider?

• A. Terms that have the same variable and exponent
• B. Terms that are constants only
• C. Only the coefficients of the variables
• D. The order of the terms in the expression

Answer: (A)

When combining like terms, it is essential to focus on the terms that share the same variable and exponent. This means that only those terms that have exactly the same variables raised to the same powers can be combined. For instance, in the expression (3x^2 + 5x^2), both terms are (x^2) terms, allowing us to combine them into (8x^2).

Terms with different variables or exponents, such as (2x) and (3y), cannot be combined because they represent different quantities. This principle ensures that the simplified expression maintains its original value while blending similar components together. While constants are also considered like terms if they are the only elements involved, the key point is that the focus should be on the consistency of both the variables and their corresponding exponents when combining terms.