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

Respuesta :

4(2a+3) = 8a+ 12 This represents the distribution property because it multiplies everything in the parentheses. 4 X 2a = 8a 4X3=12

We want to see which one of the given expressions demonstrates the distributive property.

The correct option is the last one:

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

The first thing we need to do is define the distributive property. It can be written as:

A*(B + C) = A*B + A*C

Now let's apply this to the given expression:

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

Then we have:

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

This is what we can see in the fourth option, then the correct option is the fourth one (counting from the top):

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

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