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Find the product. Simplify your answer. $\newline$ $3(4n^2 - 9)$

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Multiply a polynomial by a monomial

Full solution

Q. Find the product. Simplify your answer.

\newline

3(4n^2 - 9)

Distribute $3$ to terms: Distribute the $3$ to both terms inside the parentheses. $3(4n^2 - 9) = 3 \times 4n^2 - 3 \times 9$
Simplify multiplication: Simplify the multiplication. $3 \times 4n^2 = 12n^2$ $3 \times 9 = 27$
Combine simplified terms: Combine the simplified terms. $12n^2 - 27$

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