Find the simplest form for the following boolean expressions using algebraic methods. 1. (A+B̄)(B+C)+(A+B)(C+Å̄) 2. (A+B)(AC+AC̄)+AB+B

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$AB+AC+B.\tilde{B}+\tilde{B}.C+AC+A.\tilde{A}+BC+B.\tilde{A}$

$AB+AC+\tilde{B}.C+AC+BC+B.\tilde{A}$

$AB+AC+\tilde{B}.C+BC+B.\tilde{A}$

$AB+AC+C(\tilde{B}+B)+B.\tilde{A}$

$B(A+\tilde{A})+AC+C$

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