Simplify the following Boolean expression: AB(A+B)(C+C)

a′.b′.c′+a.b′.c′+a.b.c′

=a′.b′.c′+a.b′.c′+a.b′.c′+a.b.c′

=b′.c′(a′+a)+a.c′(b+b′)

=b′c′+a.c′

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