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Computer Science

Verify that:
(Z + X)(Z + X' + Y) = (Z + X)(Z + Y)

Boolean Algebra

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Answer


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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