Find the product. Simplify your answer. -8(3t^2 - 6) ______

Distribute -8: Distribute -8 to both terms inside the parentheses. -8(3t^2 - 6) = -8 * 3t^2 - 8 * (-6)Simplify -8 * 3t^2: Simplify -8 * 3t^2. -8 * 3t^2 = -24t^2Simplify -8 * (-6): Simplify -8 * (-6). -8 * (-6) = 48Combine simplified terms: Combine the simplified terms to get the final answer. -24t^2 + 48

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Find the product. Simplify your answer. $\newline$ $-8(3t^2 - 6)$

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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

-8(3t^2 - 6)

Distribute $-8$ : Distribute $-8$ to both terms inside the parentheses. $\newline$ $-8(3t^2 - 6) = -8 \times 3t^2 - 8 \times (-6)$
Simplify $-8 \times 3t^2$ : Simplify $-8 \times 3t^2$ . $\newline$ $-8 \times 3t^2 = -24t^2$
Simplify $-8 \times (-6)$ : Simplify $-8 \times (-6)$ . $\newline$ $-8 \times (-6) = 48$
Combine simplified terms: Combine the simplified terms to get the final answer. $-24t^2 + 48$