Question

Упростите выражение
P & (P v R) & (Q v не R)

Answer 1

$\displaystyle P \& (P\lor R)\&(Q\lor\lnot R)=P(P+R)(Q+\overline R)= \\ (PP+PR)(Q+\overline R)=(P+PR)(Q+\overline R)=P(1+R)(Q+\overline R)= \\ P(Q+\overline R)=PQ+P\overline R=P\land Q\lor P\land\lnot R$