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,

$\frac{m-2}{m-1}$

Explanation:

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

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

So option C is correct.