(2m+1/2m-1-2m-1/2m+1):4m/10m-5

First, evaluate the expression inside the parentheses:

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

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

Expanding the terms gives:

= (4m^2 + 4m + 1 - 4m^2 + 4m - 1) / (4m^2 - 1)

= (4m + 4m) / (4m^2 - 1)

= 8m / (4m^2 - 1)

Now simplify the division:

(8m / (4m^2 - 1)) ÷ ((4m) / (10m - 5))

= (8m / (4m^2 - 1)) * ((10m - 5) / (4m))

= (8m(10m - 5)) / (4m(4m^2 - 1))

= (80m^2 - 40m) / (16m^3 - 4m)

Final answer: (80m^2 - 40m) / (16m^3 - 4m)