Question

Need help combining like terms to create an equivalent expression

Answer 1

`-(1)/(5)m-(4)/(5)`

Explanation:

Given the expression:

`(2)/(5)m-(4)/(5)-(3)/(5)m`

In the expression:

`(2)/(5)m\text{ and }(3)/(5)m\text{ are like terms}`

Rearrange the expression to bring the like terms together:

`=(2)/(5)m-(3)/(5)m-(4)/(5)`

Next, combine the like terms:

`\begin{gathered} =(2m-3m)/(5)-(4)/(5) \\ =-(m)/(5)-(4)/(5) \end{gathered}`

An equivalent expression is:

`-(1)/(5)m-(4)/(5)`