The logical expression $[\mathrm{p} \wedge(\mathrm{q} \vee \mathrm{r})] \vee[(\sim \mathrm{p} \wedge \mathrm{q}) \vee(\sim \mathrm{p} \wedge \mathrm{r})]$ is equivalent to

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Aicharya · Accepted Answer

$[p \wedge(q \vee r)] \vee[(\sim p \wedge q) \vee(\sim p \wedge r)]$ $\equiv[p \wedge(q \vee r)] \vee[\sim p \wedge(q \vee r)]$ $\equiv(q \vee r) \wedge(p \vee \sim p)$ $\equiv(q \vee r) \wedge T$ $\equiv q \vee r$

The logical expression $[\mathrm{p} \wedge(\mathrm{q} \vee \mathrm{r})] \vee[(\sim \mathrm{p} \wedge…

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