## Algebra 1

$(-4)/(t+1)$; t cannot equal -1 or 3
In order to simplify, we want something to be both in the numerator and the denominator of the fraction so it can be canceled out. Thus, we factor and obtain: $(12-4t)/(t^{2}-2t-3) \\\\ -4(t-3) / (t-3)(t+1) \\\\ -4/(t+1)$ t cannot equal -1 or 3, for if t equaled -1 or 3, the denominator of the original fraction would cancel out to 0, which is not allowed.