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Which of the following demonstrates the Distributive Property?

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

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

2(3a + 4) = 6a + 8

2(3a + 4) = 5a + 6

Verified Answer :

dartagnanguess1

2(3a+4)=6a+8 demonstrates the distributive property.

Answer:

Option 3rd is correct

\(2(3a + 4) = 6a +8\)

Step-by-step explanation:

The distributive property says that:

\(a \cdot (b+c) = a\cdot b+ a\cdot c\)

To find which of the following demonstrate the distributive property:

The expression:

\(2 \cdot (3a+4)\)

Apply the distributive property we have;

\(2 \cdot 3a+ 2 \cdot 4\)

Simplify:

\(6a+8\)

Therefore, the only option 3rd follows the Distributive Property i.e,

\(2(3a + 4) = 6a +8\)