Question

Select all terms that are "like" ○ xy2 ○2xy ○x2 ○-xy ○2x2y ○1/2 xy

Answer 1

Answer: $2xy, -xy,\frac{1}{2}xy$

Step-by-step explanation:

• The like terms are the terms that have the same variables and powers. The coefficients do not need to match.

For example :- 9xy and -67xy are like terms since both the expression have the same variables x and y and same exponents.

From the given options, we can see that the expressions $2xy, -xy,\frac{1}{2}xy$ they have same variables x and y and same exponents.

Rest of others are have no like exponents or variables.

Answer 2

Answer:

• 2xy
• -xy
• 1/2xy

Step-by-step explanation:

Like terms are the terms which have the same variable and same exponent. It is not necessary that the coefficient is equal.

For example ab and 4ab are like terms because both the expression have the same variable a, b and exponent is also equal.

Looking into the given options, we can conclude that the expressions 2xy, -xy,1/2xy are like terms.

Hence, the like terms are

• 2xy
• -xy
• 1/2xy