Help me please

1. Prove the following theorems algebraically: A: X(X + y) = XY B: X + XY = X C: XY + XY' = X D: (A + B)(A+B') = A 2. A: Draw a gate circuit which has an output Z =[BC' + F(E + AD'))' B: Draw a gate circuit which has an output F = V + Z(X + WY)