assuming the usual sloppiness with parentheses,
(t^2+4t-12)/(t^2-4) = (t+6)(t-2) / (t+2)(t-2)
Now it's easy. Exclude any values for t where the denominator is zero, then cancel the (t-2) factor.
Simplify the rational expression. State any restrictions on the variable.
t^2+4t-12/t^2-4
2 answers
Wow, oobleck, you are rude.