Final answer:
The question provided an incomplete equation and asked for a missing term without specifying a numerator. Upon simplifying the given equation, we cannot find a missing term because essential information is lacking.
Step-by-step explanation:
The question asks to fill in the missing term in the equation t^2 - 4s + 4 - 3r + 2(-2)(z - 1). To find the missing term in the numerator, we must first simplify the equation.
After distributing the 2(-2) within the parentheses, the equation becomes t^2 - 4s + 4 - 3r + 2(-2)z - 2(-2). Simplify further to get t^2 - 4s + 4 - 3r - 4z + 4. Combining like terms leads to t^2 - 4s - 3r - 4z + 8. There is no numerator mentioned in the equation provided, so the missing term cannot be directly identified without additional information.