\( \frac{1}{(t-1)^2-(t+1)^2}\)
Let's simplify the denominator as [ t^2 - 2t + 1 ] - [ t^2 + 2t + 1 ] = -4t
Note that we can't have 0 as the denomiator, so the only value that makes 4t = 0 is when t = 0
Then the domain for t is ( -infinity , 0) U ( 0 , infinity )
