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

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Multiply a polynomial by a monomial

Full solution

Q. Find the product. Simplify your answer.

\newline

n(n^2 - 2)

Distribute $n$ : We need to distribute $n$ to both terms inside the parentheses: $n^2$ and $-2$ . $\newline$ $n(n^2 - 2) = n(n^2) - n(2)$
Simplify $n(n^2)$ : Simplify $n(n^2)$ . $\newline$ $n(n^2) = n^3$
Combine terms: Simplify $n(2)$ . $n(2) = 2n$
Final answer: Combine the simplified terms to get the final answer. $n(n^2 - 2) = n^3 - 2n$

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