Question

Match each rational expression to its simplest form. 2m2 - 4m 2(m-2) m2 - 2m +1 m - 1 m2 - 3m + 2 m2 - m m2 - m - 2 m2 - 1

Answer 1

Given:

The expression is,

`(m-2)/(m-1)`

Step-by-step explanation:

Multiply the expression by (m+1) on both numeratir and denominator.

`\begin{gathered} (m-2)/(m-1)\cdot(m+1)/(m+1)=((m-2)(m+1))/((m-1)(m+1)) \\ =(m\cdot m+m-2m-2)/(m^2-1^2) \\ =(m^2-m-2)/(m^2-1) \end{gathered}`

So option C is correct.