You just have to factor all the denominators and have a look at it.
5x+5 = 5(x+1)
x^2 - 4 = (x+2)(x-2)
x-1 is done already
Looks to me like 5(x+1)(x-1)(x+2)(x-2) will cover it.
Note: Fix your notation. These two expressions are NOT the same.
You tell me how they are different and whether it matters.