Question

Match each rational expression to its simplest form.

Answer 1

m-2/m=m^2-3m+2/m^2-m

m-1=m^2-2m+2m+1/m-1

Explanation:

Answer 2

First, we are going to simplify each rational expression:

`(2m^2-4m)/(2(m-2)) = (2m(m-2))/(2(m-2)) =m`


`(m^2-2m+1)/(m-1) = ((m-1)^2)/(m-1) =m-1`


`(m^2-3m+2)/(m^2-m) = ((m-2)(m-1))/(m(m-1)) = (m-2)/(m)`


`(m^2-m-2)/(m^2-1) = ((m+1)(m-2))/((m+1)(m-1)) = (m-2)/(m-1)`

We can conclude that you should your rational expressions as follows:

`(m-2)/(m)----\ \textgreater \ (m^2-3m+2)/(m^2-m)`


`m-1----\ \textgreater \ (m^2-2m+1)/(m-1)`


`(m-2)/(m-1)----\ \textgreater \ (m^2-m-2)/(m^2-1)`


`m----\ \textgreater \ (2m^2-4m)/(2(m-2))`