Prove the following using Boolean Algebra

1. Prove the following using Boolean Algebra XY + XY + XY = X+Y AB + BC + AB + BC = 1 Y + XZ + X = X+Y+Z XY +7Z + XZ + XY + YZ = XY + XZ + YZ ABC + BCD + BC + CD = B + CD 2. Simplify to minimum number of literals AC + ABC + BC ABC + AC WX(Z + YZ) + X(W + WYZ) (AB+ AB)(CD+CD) + AC