Final answer:
The question involves identifying single terms in algebraic expressions. Each expression given (2xy, -2020xy, x^2y^2, -xy) constitutes a single term, with varying coefficients and variables. A term is a part of an algebraic expression that is separated by addition or subtraction.
Step-by-step explanation:
The question asks to identify the different terms in algebraic expressions. A term in algebra is a single mathematical expression that may form a part of a series or sequence of expressions. Terms can consist of constants, coefficients, and variables that are combined using multiplication or division, but not addition or subtraction. For example, in the expression 2xy, '2' is the coefficient, 'x' and 'y' are variables, and the entire expression '2xy' represents a single term. Let's look at each part:
- A) 2xy consists of one term with coefficient '2' and variables 'x' and 'y'.
- B) -2020xy is also a single term with a coefficient of '-2020' and variables 'x' and 'y'.
- C) x^2y^2 is a single term with variables 'x' and 'y' both squared, but no explicit numerical coefficient (the implicit coefficient is '1').
- D) -xy has one term with a coefficient of '-1' (implied) and variables 'x' and 'y'.
Each of these algebraic expressions is a term by itself because there is no addition or subtraction connecting them with other expressions.