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# In Boolean Algebra what is value of $A.B+A.C.B$

$(a)\;A.B \\ (b)\;A.C \\ (c)\; A+B \\ (d)\;A+C$

$A.B+A.C.B$
$\qquad= A.B +A.B.C$
$\qquad= (A.B) [1+C]$
$\qquad =A.B \qquad [ \because 1+C=1]$
Hence a is the correct answer.
edited Jul 13, 2014