Final Answer:
In essence, the distributive property states that when you have an expression with a term multiplied by the sum of two other terms, you can distribute the multiplication across the addition. Distributive property. The correct option is c.
Step-by-step explanation:
The expression (12-7)+5 can be simplified step by step to illustrate the distributive property. First, perform the subtraction inside the parentheses: 12 - 7 = 5. Then, add 5 to the result: 5 + 5 = 10. This can be represented as (12-7)+5 = 5 + 5 = 10.
Now, consider the expression 5x. Here, the distributive property is evident when you factor out the common factor of 5. The expression can be written as 5x = 5 * x, where 5 is factored out. This demonstrates the distributive property, showing that multiplication distributes over addition.
In essence, the distributive property states that when you have an expression with a term multiplied by the sum of two other terms, you can distribute the multiplication across the addition. In the given examples, the distributive property is showcased in both (12-7)+5 and 5x, highlighting the flexibility of multiplication over addition and the ability to simplify expressions by distributing the multiplication operation. The correct option is c.