Prove algebraically that (x + y)’ . (x’ + y’) = x’ .y,

1.	Prove algebraically that (x + y)’ . (x’ + y’) = x’ .y,
Answer» LHS = (x + y)’ . (x’ + y’) = (x’ . y’) . (x’ . y’) = x’ . y’ . x’ + x’ . y’ . y’ = x’ . y’ + x’ . y’ = x ‘. y’ = RHS Hence proved.

Answer»

LHS = (x + y)’ . (x’ + y’)

= (x’ . y’) . (x’ . y’)

= x’ . y’ . x’ + x’ . y’ . y’

= x’ . y’ + x’ . y’

= x ‘. y’ = RHS

Hence proved.

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Prove algebraically that (x + y)’ . (x’ + y’) = x’ .y,

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