Question

What are like​ terms? Provide an example with your description. Choose the correct answer below. A. Like terms are terms that have the same coefficient. For​ example, 3x and 3 are like terms since the coefficient of both is 3. B. Like terms are terms that contain the same common factor. For​ example, in the expression 6xplus+9plus+5x2​, the terms 6x and 9 are like terms since they both share the common factor of 3. C. Like terms are terms that have the same variable factors as well as the same number of factors of each type. For​ example, 3x and 5x are like terms. D. Like terms are terms that appear in the same expression. For​ example, in the expression 3xplus+​5, 3x and 5 are like terms.

Answer 1

Answer:

Option C.

Step-by-step explanation:

We need to find the correct definition of like terms.

Like terms :Two or more terms are called like terms if they have the same variables and same powers.  

For example : 4xy and 9xy are like terms.

Option A is incorrect because 3x and 3 are not like terms.

Option B is incorrect because 6x and 9 are not like terms.

Option C is correct because like terms are terms that have the same variable factors as well as the same number of factors of each type. For​ example, 3x and 5x are like terms.

Option D is incorrect because 3x and 5 are not like terms.

Therefore, the correct option is C.