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

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Multiply polynomials

Full solution

Q. Find the product. Simplify your answer.

\newline

-4u(-3u^2 + 4)

Identify expression: Identify the expression after using the distributive property. $\newline$ Distribute $-4u$ to $-3u^2$ and $4$ . $\newline$ $-4u(-3u^2 + 4) = -4u(-3u^2) + -4u(4)$
Distribute $-4u$ : Simplify $-4u(-3u^2)$ . $\newline$ Multiply $-4u$ and $-3u^2$ . $\newline$ $-4u(-3u^2) = 12u^3$
Simplify $-3u^2$ : Simplify $-4u(4)$ . $\newline$ Multiply $-4u$ and $4$ . $\newline$ $-4u(4) = -16u$
Multiply $-4u$ and $-3u^2$ : Combine the results from Step $2$ and Step $3$ . $\newline$ We found: $\newline$ $-4u(-3u^2) = 12u^3$ $\newline$ $-4u(4) = -16u$ $\newline$ So, the simplified form of $-4u(-3u^2 + 4)$ is: $\newline$ $-4u(-3u^2 + 4) = 12u^3 - 16u$

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