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Find the product. Simplify your answer. $\newline$ $2k(3k^2 - 5)$

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Multiply a polynomial by a monomial

Full solution

Q. Find the product. Simplify your answer.

\newline

2k(3k^2 - 5)

Distribute $2k$ : We need to distribute $2k$ to both terms inside the parentheses: $3k^2$ and $-5$ . $\newline$ $2k(3k^2 - 5) = 2k \times 3k^2 - 2k \times 5$
Simplify $2k \times 3k^2$ : Simplify $2k \times 3k^2$ . $2k \times 3k^2 = 6k^3$
Simplify $2k \times -5$ : Simplify $2k \times -5$ . $\newline$ $2k \times -5 = -10k$
Combine terms: Combine the simplified terms to get the final answer. $2k(3k^2 - 5) = 6k^3 - 10k$

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