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Find the product. Simplify your answer. $\newline$ $8(-3v^2 - 1)$

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Multiply a polynomial by a monomial

Full solution

Q. Find the product. Simplify your answer.

\newline

8(-3v^2 - 1)

Distribute $8$ : Distribute the $8$ to both terms inside the parentheses. $8(-3v^2 - 1) = 8 \times (-3v^2) + 8 \times (-1)$
Multiply $-3v^2$ : Multiply $8$ by $-3v^2$ . $\newline$ $8 \times (-3v^2) = -24v^2$
Multiply $-1$ : Multiply $8$ by $-1$ . $\newline$ $8 \times (-1) = -8$
Combine results: Combine the results from Step $2$ and Step $3$ . $\newline$ $-24v^2 - 8$

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