Find the product. Simplify your answer. -2z(4z^2 + 3) ______

Distribute -2z: We need to distribute -2z to both terms inside the parentheses: 4z^2 and +3. -2z(4z^2 + 3) = -2z * 4z^2 + -2z * 3Simplify -2z * 4z^2: Simplify -2z * 4z^2. -2z * 4z^2 = -8z^3Simplify -2z * 3: Simplify -2z * 3. -2z * 3 = -6zCombine simplified terms: Combine the simplified terms to get the final answer. -8z^3 - 6z

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

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Algebra 1

Multiply a polynomial by a monomial

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Q. Find the product. Simplify your answer.

\newline

-2z(4z^2 + 3)

Distribute $-2z$ : We need to distribute $-2z$ to both terms inside the parentheses: $4z^2$ and $+3$ . $\newline$ $-2z(4z^2 + 3) = -2z \times 4z^2 + -2z \times 3$
Simplify $-2z \times 4z^2$ : Simplify $-2z \times 4z^2$ . $-2z \times 4z^2 = -8z^3$
Simplify $-2z \times 3$ : Simplify $-2z \times 3$ . $\newline$ $-2z \times 3 = -6z$
Combine simplified terms: Combine the simplified terms to get the final answer. $-8z^3 - 6z$