what are the steps to simplifying this (a+b)(a+!b)=a

what开发者_JAVA技巧 are the steps to simplifying this (a+b)(a+!b)=a

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  (a + b).(a + !b)

= a.(b + !b)          ; distributivity [1]

= a.1                 ; complements [1]

= a

1. See Wikipedia page on Boolean algebra