Does the OR operation distribute over the XOR operation? i$.$e$.$ is the following

statement true for all possible values of Boolean variables a$,$ b$,$ c$?$

a $+($b $$ c$)=($a $+$ b$)($a $+$ c$)$

$[4$ points$]$ Explain why the AND operation distributes over the XOR operation i$.$e$.$

a $($b $$ c$)=($a $$ b$)($a $$ c$)$