Respuesta :

Problem Statement

We are asked to identify the like terms from the following expression:

[tex]7y+5r-4r+2w[/tex]

Concept

When we are asked to identify like terms, the question is asking us to find which terms have the same variables with the same power.

For example:

[tex]\begin{gathered} \text{Given the expression:} \\ x^2+2x+y+yx+y^3+y^2+2y+3x^2 \\ \\ 3x^2\text{ and }x^2\text{ are like terms because they have the same variable (x) and both have a power of 2.} \\ y\text{ and 2y are like terms because they have the same variable (y) and both have a power of 1.} \\ \\ \text{Those are the only like terms in the expression} \end{gathered}[/tex]

With the above information, we can solve the question.

Implementation

By the explanation given above, the like terms from the given expression are:

[tex]5r\text{ and }-4r[/tex]