Which of the following terms are like terms?
a) 9x and 9y b)12ac^2 and ac^2 c)8xy and 8xz d)ab^2 and x^2y

+1

(2) Answers

Lucy68

Like terms means terms that have the same variable (and with the same exponent).
A) 9x and 9y <-- those are different variables. This is incorrect.
B) 12ac^2 and ac^2 <-- those are the same variables and same exponent. Correct.
C) 8xy and 8xz <-- different variables, incorrect.
D) ab^2 and x^2y <-- different variables, incorrect.
Correct answer is [latex]\fbox {B)}[/latex]

Lynor

Like terms are terms that have the same variables and also have the same exponents on those variables.
Out of all your choices, answer choice B) 12ac^2 and ac^2 fits that definition.
B is your answer.