Question

If h =m+1/m-1, express 2h-1/2h+1 in terms of m​

Answer 1

(m + 3)/(3 m + 1)

Explanation:

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

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

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

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

Denominator cancel each other

then

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

`(m+3)/(3m+1)`