Answer to Question #284548 in Discrete Mathematics for Shin

Question #284548

(p^q)v(P ^ Q ^ R)

1
Expert's answer
2022-01-04T14:13:53-0500

(pq)(pqr)=(p(pqr))(q(pqr))(p\land q)\lor(p \land q \land r)=(p\lor (p \land q \land r))\land(q\lor (p \land q \land r))

p(pqr)=p(qr)=(pq)(pr)p\lor (p \land q \land r)=p\lor (q\land r)=(p\lor q)\land (p\lor r)

q(pqr)=q(pr)=(pq)(qr)q\lor (p \land q \land r)=q\lor (p\land r)=(p\lor q)\land (q\lor r)

(pq)(pr)(pq)(qr)=(pr)(pq)(qr)(p\lor q)\land (p\lor r)\land (p\lor q)\land (q\lor r)= (p\lor r)\land (p\lor q)\land (q\lor r)


(pq)(pqr)=(pr)(pq)(qr)(p\land q)\lor(p \land q \land r)= (p\lor r)\land (p\lor q)\land (q\lor r)


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