Question

What are the like terms in the algebraic expression? −x2y + 2xy2 − 5 + 3y − 4xy + y June claims the like terms are: 3y and y −x2y and 2xy2 Did June identify the correct like terms? Check the correct statement.

Answer 1

–x2y and 2xy2 are not like terms because the variables are not raised to the same powers.

Explanation:

Answer 2

No, June did not identify the correct like terms.

Explanation:

The given algebraic expression is

`-x^2y+2xy^2-5+3y-4xy+y`

In an algebraic expression, two terms are called like terms if they have the same variables and powers.

In the given algebraic expression 3y and y are like terms because both terms have the same variable y with power 1.

In the given algebraic expression -x²y and 2xy² are not like terms because both terms have the same variables x and y but having different powers.

June claims the like terms are: 3y and y ,-x²y and 2xy/

Since 3y and y are like terms and -x²y and 2xy² are not like terms, therefore June did not identify the correct like terms.