Verify that:(Z + X)(Z + X' + Y) = (Z + X)(Z + Y)
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LHS = (Z + X)(Z + X' + Y) = Z + X'Z + YZ + XZ + XX' + XY = Z + XY + Z(Y + X + X') + 0 = Z + XY RHS = (Z + X)(Z + Y) = Z + YZ + XZ + XY = Z(1 + Y + X) + XY = Z + XY ∴ LHS = RHS Hence Proved.
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