Prove boolean identities using boolean algebra, Computer Engineering

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Prove the following Boolean identities using the laws of Boolean algebra:
ABC + AB‾C + ABC‾ = A(B + C)

Ans.

ABC+AB'C+ABC'=A(B + C)
LHS AC(B+B')+AB(C+C') OR AC+AB
OR A(B+C)= RHS
Thus Proved

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