The expression you provided:

\[
A \times (B - C) = (A \times B) - (A \times C)
\]

is an example of the **distributive property of multiplication over subtraction**. This property states that when you multiply a number (or expression) by the difference of two other numbers (or expressions), you can distribute the multiplication to each term separately and subtract the results.

### Explanation:
1. On the left-hand side, you have \( A \times (B - C) \), which means multiplying \( A \) by the difference between \( B \) and \( C \).
2. On the right-hand side, you distribute \( A \) across both \( B \) and \( C \), yielding \( (A \times B) - (A \times C) \).

In other words, you perform the multiplication of \( A \) with both \( B \) and \( C \) separately and then subtract the products.

Would you like more details or further explanation on this topic?

Here are 5 related questions for further exploration:
1. How does the distributive property work with addition?
2. Can the distributive property be extended to more than two terms?
3. How does the distributive property apply to algebraic expressions with variables?
4. What is the connection between the distributive property and factoring?
5. How is the distributive property used in solving equations?

**Tip:** The distributive property is one of the most frequently used properties in algebra and can simplify complex expressions and make calculations easier.

Understand the distributive property of multiplication over subtraction with the equation A×(B-C)=(A×B)-(A×C). This property explains how to distribute multiplication across subtraction, making it a foundational concept in algebra for Grades 6-8.

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