Given $R=\{A,B,C,D\}$ if $A>BC$ and $B>D$ :

To transform $R$ to $3NF$ by representing the $3$NF relations and their attributes, and the Functional Dependencies, which resulting relations fulfills $3$NF$.$ Candidate keys for each resulting relation are indicated as $PK=\{x\}.$ Dependency is indicated by a $>.$

$R1=\{A,B,D\},PK=\{A,B\}$

$R2=\{B,D\},PK=\{B\}$

$R1=\{A,B,C,D\},PK=\{A,B\}$

$R2=\{B,C,D\},PK=\{B\}$

$R1=\{A,B,C\},PK=\{A\}$

$R2=\{B,D\},PK=\{B\}$

$R1=\{A,B,C,D\},PK=\{A,B\}$