Simplify the rational expression. State any restrictions on the variable.

Answer:
t+4, t≠8
Step-by-step explanation:
[tex]\dfrac{t^2-4t-32}{t-8}=\dfrac{(t+4)(t-8)}{(t-8)}=t+4[/tex]
The value of t must not be one that makes the denominator zero, hence must not be 8.