Find the product. Simplify your answer. 3z(z^2 + 8) ______

Distribute 3z: Distribute 3z to both terms inside the parentheses. 3z(z^2 + 8) = 3z(z^2) + 3z(8)Simplify 3z(z^2): Simplify 3z(z^2). 3z(z^2) = 3 * z * z^2 = 3z^3Simplify 3z(8): Simplify 3z(8). 3z(8) = 3 * 8 * z = 24zCombine simplified terms: Combine the simplified terms to get the final answer. 3z(z^2 + 8) = 3z^3 + 24z

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Find the product. Simplify your answer. $\newline$ $3z(z^2 + 8)$

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Math Problems

Algebra 1

Multiply a polynomial by a monomial

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Q. Find the product. Simplify your answer.

\newline

3z(z^2 + 8)

Distribute $3z$ : Distribute $3z$ to both terms inside the parentheses. $\newline$ $3z(z^2 + 8) = 3z(z^2) + 3z(8)$
Simplify $3z(z^2)$ : Simplify $3z(z^2)$ . $\newline$ $3z(z^2) = 3 \times z \times z^2 = 3z^3$
Simplify $3z(8)$ : Simplify $3z(8)$ . $\newline$ $3z(8) = 3 \times 8 \times z = 24z$
Combine simplified terms: Combine the simplified terms to get the final answer. $3z(z^2 + 8) = 3z^3 + 24z$