Prove using boolean algebra, Computer Engineering

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Q.Prove using Boolean Algebra

1. X (X+Y) = X

2. AB + AC + BC' = AC + BC'

3. (A+B+C) (A+B'+C') (A+B+C') (A+B'+C)=A

4. (A+B'+C) (AB+A'C) = (A+C) (A'+B)

5. XY + XZ + YZ' = XZ + YZ' 


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