Final answer:
The result of 3(3 + 3p) is found by applying the distributive property, giving us 9 + 9p, which corresponds to answer choice D) 9 + 9p.
Step-by-step explanation:
To find the result of 3(3 + 3p), we need to use the distributive property of multiplication over addition. This property tells us that a(b + c) = ab + ac. Applying this property to our expression:
- Multiply 3 by 3 to get 9.
- Multiply 3 by 3p to get 9p.
- Add the two products together to get the final result.
So, 3(3 + 3p) = 3 × 3 + 3 × 3p = 9 + 9p.
Therefore, the correct answer is D) 9 + 9p.