Prove (giving reasons) that [(x + y)’ + (x + y)’]’ = x + y

1.	Prove (giving reasons) that [(x + y)’ + (x + y)’]’ = x + y
Answer» [(x + y)’ + (x + y)’]’ = ((x + y)’)’.((x + y)’)’ (Using De Morgan’s first theorem i.e., (A + B)’ = A’.B’) = (x + y).(x + y) (∵X’ = X) = x + y

Answer»

[(x + y)’ + (x + y)’]’ = ((x + y)’)’.((x + y)’)’ (Using De Morgan’s first theorem i.e., (A + B)’ = A’.B’)

= (x + y).(x + y) (∵X’ = X)

= x + y

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Prove (giving reasons) that [(x + y)’ + (x + y)’]’ = x + y

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