Final answer:
The terms in the expression are -66², -2k, -6k, -66², and 2, with corresponding coefficients of -66, -2, and -6 for the variables. To simplify algebraic expressions, eliminate terms by combining like terms and check that the answer is reasonable.
Step-by-step explanation:
Identifying Terms and Coefficients in Algebraic Expressions
To identify the terms in the given expression, it is important to know that a term is a single mathematical expression that may consist of constants, variables, and/or coefficients. Terms are usually separated by plus or minus signs in an algebraic expression. The coefficients are the numbers in front of the variables. In the given expression, the following are considered terms: -66², -2k, -6k, -66², and 2. Coefficients here are -66, -2, and -6 respectively for those terms with variables.
When we eliminate terms, we simplify the algebra by combining like terms, which are terms with the same variables raised to the same powers. To check if an answer is reasonable, we can review the arithmetic and ensure that all mathematical principles have been followed correctly, such as combining like terms and applying the correct operations. This includes the elimination of terms with zero coefficients since they don't contribute to the value of the expression.