Are 5x and 4xy Like Terms?

Answer:

To get an explanation of why 5x and 4xy are not like terms but rather unlike terms, we will look into definitions of like and unlike terms.

• Like terms: Terms that have having same variable or terms having variables with the same exponent power for them are called Like terms.

For example: 6x and 16x and 5xy² and 8xy², here, 6x and 16x are called Like Terms because they have the same coefficient of variables.

• Unlike terms: Terms that have different variables or terms have variables with different exponent powers for them are called Unlike terms.

For Example: 7z and 16x and 7x² and 7x³, here, 7z and 16x are called Unlike Terms because they have different coefficients of z and x.

Now the answer to the above question is NO, 5x and 4xy are not like terms as 5x and 4xy both have different variables with different coefficients of x and y.

No, 5x and 4xy are not like terms and the explanation for the same is added below: