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

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Multiply a polynomial by a monomial

Full solution

Q. Find the product. Simplify your answer.

\newline

2k(-3k^2 - 2)

Distribute $2k$ : We need to distribute $2k$ to both terms inside the parentheses: $-3k^2$ and $-2$ . $\newline$ $2k(-3k^2 - 2) = 2k(-3k^2) + 2k(-2)$
Simplify $-3k^2$ : Now, simplify $2k(-3k^2)$ . $2k(-3k^2) = -6k^3$
Simplify $-2$ : Next, simplify $2k(-2)$ . $\newline$ $2k(-2) = -4k$
Combine terms: Combine the simplified terms to get the final answer. $\newline$ $2k(-3k^2 - 2) = -6k^3 - 4k$

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