[tex]p\land v[/tex] is true if both [tex]p[/tex] and [tex]v[/tex] are true.
[tex]p\land r[/tex] is true if both [tex]p[/tex] and [tex]r[/tex] are true.
[tex](p\land v)\lor(p\land r)[/tex] is true if either of the conjunctions are true. So either [tex]p[/tex] and [tex]v[/tex] are both true, or [tex]p[/tex] and [tex]r[/tex] are both true.
If you're looking at a truth table, then pick the rows where both [tex]p[/tex] and [tex]v[/tex] are true, or [tex]p[/tex] and [tex]r[/tex] are true, or all of [tex]p,v,r[/tex] are true.
