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Simplify Y = AB’ + (A’ + B)C.
- a)AB’ + C
- b)AB + AC
- c)A’B + AC’
- d)AB + A
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Simplify Y = AB’ + (A’ + B)C.a)AB’ + Cb)AB + ACc)A&r...
Step-by-step explanation:
Given expression: Y = AB' + (A' + B)C
Distribute the terms:
Y = AB' + AC + BC
Apply distributive property:
Y = AB' + AC
Factor out common term A:
Y = A(B' + C)
Final simplified expression:
Y = AB' + C
Therefore, the correct simplified form of the given expression Y = AB' + (A' + B)C is option a) AB' + C.
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Community Answer
Simplify Y = AB’ + (A’ + B)C.a)AB’ + Cb)AB + ACc)A&r...
Y = AB’ + (A’ + B)C = AB’ + (AB’)’C = (AB’ + C)( AB’ + AB’) = (AB’ + C).1 = (AB’ + C).
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