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Verify the following algebraically: X’.Y + X.Y’ = (X’ + Y’).(X + Y) 

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RHS = (X’ + Y’).(X + Y)

= (X’ + Y’).X + (X’ + Y’).Y

= X’.X + X.Y’ + X’.Y + Y’.Y

= 0 + X.Y’ + X’.Y + 0

= X.Y’ + X’.Y

= LHS (Verified)

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