Answer:
(m + 3)/(3 m + 1)
Step-by-step explanation:
[tex]\frac{2( \frac{m + 1}{m - 1}) - 1 }{2( \frac{m + 1}{m - 1}) + 1}[/tex]
[tex]\frac{ \frac{2(m + 1)}{(m - 1)} - 1}{ \frac{2(m + 1)}{(m - 1)} + 1}[/tex]
[tex] \frac{ \frac{2( m+ 1) - (m - 1)}{( m- 1)} }{ \frac{2( m+ 1) + (m - 1)}{( m- 1)}} [/tex]
[tex] \frac{ \frac{2m+2-m+1}{( m- 1)} }{ \frac{2m+2+m-1}{( m- 1)}} [/tex]
Denominator cancel each other
then
[tex] \frac{2m+2-m+1}{2m+2+m-1} [/tex]
[tex] \frac{m+3}{3m+1} [/tex]
