Question

Which of the following demonstrates the Distributive Property?

4(2a + 3) = 8a + 3

4(2a + 3) = 2a + 12

4(2a + 3) = 6a + 7

4(2a + 3) = 8a + 12

Answer 1

The correct expression that demonstrates the Distributive Property is 4(2a + 3) = 8a + 12, because when you distribute the 4, you multiply it by each term inside the parentheses.

Step-by-step explanation:

The student is asking which expression demonstrates the Distributive Property. The Distributive Property states that for any numbers a, b, and c, the expression a(b + c) equals ab + ac. Therefore, applying the Distributive Property to 4(2a + 3) gives us 4×2a + 4×3, which simplifies to 8a + 12.

In the options provided, the correct expression that applies the Distributive Property is:

4(2a + 3) = 8a + 12

Answer 2

Distributive property tells: a(b + c) = ab + bc

So, 4(2a + 3) = 8a + 12

In short, Your Answer would be Option D

Hope this helps!