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Prove following: B + A (B + C) + BC = B + AC

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Question

Prove following:

B + A (B + C) + BC = B + AC

Theorem
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Solution

LHS​ = B + A(B + C) + BC

        = B + AB + AC + BC

        = B + AC       [B + AB = B, B + BC = B]​ 

LHS = RHS​

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Chapter 11: Boolean Algebra - EXERCISE [Page 219]

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CBSE Computer Science with Python [English] Class 12
Chapter 11 Boolean Algebra
EXERCISE | Q 20. iv) | Page 219
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