Which of the examples below expresses the commutative law of multiplication?a.A + B = B + Ab.A • B = B • Ac.A • B = B + Ad.A • (B • C) = (A • B) • C

To identify which of the examples expresses the commutative law of multiplication, we need to look for the property that states the order in which two numbers are multiplied does not change the product. In mathematical terms:

$A \cdot B = B \cdot A$

Now, let's analyze each option:

1. Option a: $A + B = B + A$ - This reflects the commutative law of addition, not multiplication.
2. Option b: $A \cdot B = B \cdot A$ - This is the correct expression of the commutative law of multiplication.
3. Option c: $A \cdot B = B + A$ - This is incorrect as it mixes multiplication with addition.
4. Option d: $A \cdot (B \cdot C) = (A \cdot B) \cdot C$ - This expression represents the associative law of multiplication.

Final Answer

The example that expresses the commutative law of multiplication is b. $A \cdot B = B \cdot A$.