The image shows a Boolean expression "AB̅ + BC̅" and asks for the fully simplified version of it.

Let's simplify the Boolean expression step by step:

Expression: $AB' + BC'$

1. Factor the expression: $AB' + BC' = B'(A + C)$

   We factored out $B'$ (the complement of B).

This is the fully simplified version of the Boolean expression. The answer is:

$B'(A + C)$

Do you want any further explanation or have questions?

Here are five related questions:

1. How do you simplify Boolean expressions using Boolean algebra laws?
2. What is the significance of the complement in Boolean algebra?
3. Can the expression $B'(A + C)$ be simplified further?
4. What are some common factoring techniques in Boolean algebra?
5. How is Boolean algebra applied in digital circuit design?

Tip: When simplifying Boolean expressions, always look for common terms that can be factored to reduce the complexity of the expression.