Question

find the product. simplify your answer.
4n(-3n² + 3n)

Explanation:

Step1: Apply Distributive Property

Multiply \(4n\) with each term inside the parentheses:
\(4n \times (-3n^2) + 4n \times 3n\)

Step2: Simplify Each Term

For the first term: \(4n \times (-3n^2) = -12n^{1 + 2} = -12n^3\) (using \(a^m \times a^n = a^{m + n}\)).
For the second term: \(4n \times 3n = 12n^{1 + 1} = 12n^2\).

Step3: Combine Terms

Combine the simplified terms: \(-12n^3 + 12n^2\).

Answer:

\(-12n^3 + 12n^2\)