Question

prove that A+(B. C) =(A+B).(A+C)



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Answer 1

Answer:

(A + B) * (A’ + C)

→ AA’ + AC + A’B + BC

→ 0 + AC + A’B + BC

→ AC + CB + A’B

By the consensus theorem:

xy + yz + x’z = xy + x’z

Let A = x, B = z, C = y

→ AC + CB + A’B = xy + yz + x’z

→ AC + A’B = xy + x’z

Therefore, (A + B) * (A’ + C) = AC + A’B

Explanation:

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