Let $P(x)$ be $x$ passed Physics exam.
and $Q(x)$ be $x$ passed Chemistry exam.
Domain of $x$ be students of a class.
$∀x(P(x)∨Q(x))$ will be true if each student either passed the physics exam or the chemistry exam.
$∀xP(x)∨∀xQ(x)$ will be true if and only if the entire domain of students either passed the physics exam or the chemistry exam .
Let $\{s1,s2\} $ be the domain of students.
Let $s1$ pass Chemistry exam , $s2$ pass Physics exam.
$∀x(P(x)∨Q(x))$ gives True in this case.
But , $∀xP(x)∨∀xQ(x)$ will give false .
Thus they're logically not equivalent.