Given the following question:
[tex]\begin{gathered} \frac{m-2}{m-1} \\ \end{gathered}[/tex][tex]\begin{gathered} \frac{m-2}{m-1} \\ \text{ Option C:} \\ \frac{m^2-m-2}{m^2-1} \\ \text{ Factor} \\ m^2-m-2=(m+1)(m-2) \\ \frac{m^2-m-2}{m^2-1}=\frac{\left(m+1\right)\left(m-2\right)}{m^2-1} \\ \frac{\left(m+1\right)\left(m-2\right)}{m^2-1} \\ m^2-1=(m+1)(m-1) \\ (m+1)(m-1)=\frac{\left(m+1\right)\left(m-2\right)}{\left(m+1\right)\left(m-1\right)} \\ \text{ Cancel cf} \\ =\frac{(m-2)}{(m-1)}x \end{gathered}[/tex]
Your answer is option C.
