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Find the product. Simplify your answer. $\newline$ $4v(v^2 - 7)$

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Multiply a polynomial by a monomial

Full solution

Q. Find the product. Simplify your answer.

\newline

4v(v^2 - 7)

Distribute $4v$ : Distribute $4v$ to both terms inside the parentheses ( $v^2$ and $-7$ ). $\newline$ $4v(v^2 - 7) = 4v(v^2) - 4v(7)$
Simplify $4v(v^2)$ : Simplify $4v(v^2)$ . $4v(v^2) = 4 \times v \times v^2 = 4v^3$
Simplify $4v(-7)$ : Simplify $4v(-7)$ . $\newline$ $4v(-7) = -28v$
Combine simplified terms: Combine the simplified terms to get the final answer. $4v(v^2 - 7) = 4v^3 - 28v$

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