a ∨( b×C)= { 1,& lt2,3 >},(A∪B)×(A∪C)= { & lt; 1, 1 & gt; ,& lt 1,3 & gt; ,& lt2, 1 & gt; ,& lt2,3 >}
Therefore, it will not wait.
(2) It is true.
Proof: Let any ordinal number pair
& ltx,y & gt∈A×(B∩C)
(x∈A)∧(y∈B∩C)
(x∈A)∧(y∈B∧y∈C)
(x∈A∧y∈B)∧(x∈A∧y∈C)
& ltx,y & gt∈a×B∧& lt; x,y & gt∈A×C
& ltx,y & gt∈(A×B)∩(A×C)
Therefore, A×(B∩C)=(A×B)∩(A×C).