Question

Which terms should be added to 3xy to result in a monomial? Check all that apply.

A. 3xy
B. -12x²y
C. 2x²y
D. 7xy

Answer 1

To result in a monomial, we need to add terms that have the same variables and exponents as 3xy.

Step-by-step explanation:

To result in a monomial, we need to add terms that have the same variables and exponents as 3xy. A monomial is an algebraic expression with only one term. So, the terms that can be added to 3xy to result in a monomial are:

• A. 3xy: This term already has the same variables and exponents, so it can be added.
• B. -12x²y: This term has different exponents for the variable x, so it cannot be added.
• C. 2x²y: This term has different exponents for the variable x, so it cannot be added.
• D. 7xy: This term already has the same variables and exponents, so it can be added.

Therefore, the correct options are A and D.