3 answers
To expand the expression \(-5(3n + 3)\) using the distributive property, you multiply \(-5\) by each term inside the parentheses.
Here's the step-by-step expansion:
\[ -5(3n) + -5(3) \]
Calculating each term gives:
\[ -15n - 15 \]
Thus, the expanded form of \(-5(3n + 3)\) is:
\[ -15n - 15 \]
Let’s go through it again step by step to clarify the expansion of \(-5(3n + 3)\) using the distributive property.
The distributive property states that \(a(b + c) = ab + ac\).
In your case:
Multiply \(-5\) by \(3n\): \[ -5 \cdot 3n = -15n \]
Multiply \(-5\) by \(3\): \[ -5 \cdot 3 = -15 \]
Now, combine the results:
\[ -15n - 15 \]
So the final answer is indeed:
\[ -15n - 15 \]
If there's a different aspect you’d like to address or clarify further, please let me know!
