a. P ∧ {\displaystyle \land \;} (P ∨ {\displaystyle \lor \;} Q) ≡ {\displaystyle \equiv \;} P
b. (P ∨ {\displaystyle \lor \;} Q) ∧ {\displaystyle \land \;} ( ¬ {\displaystyle \lnot \;} P ∨ {\displaystyle \lor \;} Q) ≡ {\displaystyle \equiv \;} Q
SOLUCION:
a. P ∧ {\displaystyle \land \;} (P ∨ {\displaystyle \lor \;} Q) ≡ {\displaystyle \equiv \;} (P ∨ {\displaystyle \lor \;} F) ∧ {\displaystyle \land \;} (P ∨ {\displaystyle \lor \;} Q)
≡ {\displaystyle \equiv \;} P ∨ {\displaystyle \lor \;} (F ∧ {\displaystyle \land \;} Q)
≡ {\displaystyle \equiv \;} P
b. (P ∨ {\displaystyle \lor \;} Q) ∧ {\displaystyle \land \;} ( ¬ {\displaystyle \lnot \;} P ∨ {\displaystyle \lor \;} Q) ≡ {\displaystyle \equiv \;} (Q ∨ {\displaystyle \lor \;} P) ∧ {\displaystyle \land \;} (Q ∨ ¬ {\displaystyle \lor \lnot \;} P)
≡ {\displaystyle \equiv \;} Q ∨ {\displaystyle \lor \;} (P ∧ ¬ {\displaystyle \land \lnot \;} P)
≡ {\displaystyle \equiv \;} Q
