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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?

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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.

What is the fully simplified version of AB' + BC'?

Learn how to simplify the Boolean expression AB' + BC' with a step-by-step solution. This problem covers key concepts in Boolean algebra, including the complement theorem and distributive law. Suitable for students in Grades 9-12.

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