In a Boolean Algebra prove that : a·b+[(a+b')·b] = 1 V a,b € B
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I didn't understand this question
Answered by
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Step-by-step explanation:a.b+[(a+b').b]'=1
=a.b+[(a+b').b]'
=a.b+[(ab+b'b]'
(bb'=0)
=a.b+[a.b]'
=(a.b)+1/a.b
=(a.b)(a.b)+1/a.b
=a.a)(b.b)+1/a.b
(a.a=a)
=1
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