Simplify:
​$$Z = AB + AB\bar{C}$$​​

Correct option is B

1. Distributive law: XY + XY' = X(Y + Y').
2. Complementarity: Y + Y' = 1.
3. Identity: $$X \cdot 1 = X$$​.
4. Redundancy check: If one term fully contains another, the larger one is redundant.
5. Result: $$AB + AB\bar C \Rightarrow AB$$​.

Knowledge Booster

• A common quick rule: X + XY = X. Here, let X = AB and $$Y=\bar C$$​; then $$AB + AB\bar C = AB$$​.
• Karnaugh-map view: All cells where AB = 1 are already covered; restricting C = 0 doesn’t add coverage.