Theorem 2 (For any three set `A;B;C`; prove that `Axx(B-C)=(AxxB)-(AxxC)`

Theorem 1(i) (For any three set A;B;C; prove that A xx(B uu C)=(A xx B)uu(A xx C))

Theorem 1 (ii) (For any three set A;B;C ; prove that A xx(B nn C)=(A xx B)nn(A xx C)

Theorem 8( For any set A;B and C prove that A xx(B'uu C')'=(A xx B)nn(A xx C)

Theorem 7 (For any set A;B;C;D prove that (A xx B)nn(C xx D)=(A nn C)xx(B nn D)

For any three sets A,B,C prove that: A xx(B'uu C')'=(A xx B)nn(A xx C)A xx(B'nn C')'=(A xx B)uu(A xx C)

For any three sets A, B and C, prove that: (A -B) xx C= (A xx C) - (B xx C)

If A , B and C are any three sets , then prove that : Acap(B-C)=(AcapB)-(AcapC) (ii) Acap(BDeltaC)=(AcapB)Delta(AcapC) .

For any sets A,B,C,D prove that: (A xx B)nn(C xx D)=(A nn C)xx(B nn D)

For any three sets A, B and C, Axx(B'uuC') equals

For any triangle ABC, prove that (b+c)cos(B+C)/(2)=a cos(B-C)/(2)