Question

Show that the following Boolean identity is true.
(A+B) .(A + C) = A + B .C

Answer 1

$\textbf{Hey there}$!!

$\bold{Solution}$:

$\textbf{Identities To Be Used}$:

➡A . A = 1.

➡( 1 + C ) = 1.

➡( 1 + B ) = 1.

$\textbf{Taking L.H.S}$ :

(A + B) . (A + C)

= A . A + A . C + A . B + B . C

= A . ( 1 + C ) + A . B + B . C

= A . ( 1 ) + A . B + B . C

= A . ( 1 + B ) + B . C

= A . ( 1 ) + B . C

= A + B . C = R.H.S


#Be Brainly.

Answer 2

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