Answer
a)We verified that \[A\cap (B\cup C)=(A\cap B)\cup (A\cap C)\].
b)We verified that \[A\cup (B\cap C)=(A\cup B)\cap (A\cup C)\].
Work Step by Step
a)We verified that \[A\cap (B\cup C)=(A\cap B)\cup (A\cap C)\].
b)We verified that \[A\cup (B\cap C)=(A\cup B)\cap (A\cup C)\].