Final answer:
The property shown by the statement 4 × (3 + c) = 4 × 3 + 4 × c is the distributive property.
Step-by-step explanation:
The property shown by the statement 4 × (3 + c) = 4 × 3 + 4 × c is the distributive property.
The distributive property states that when you have a number multiplied by the sum of two or more terms, you can distribute the multiplication to each term individually and then add the results.
In this case, we have 4 multiplied by the sum of 3 and c. Using the distributive property, we can multiply 4 by each term individually, giving us 4 × 3 + 4 × c.