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Find the product. Simplify your answer. $\newline$ $2d(-4d^2 + 6)$

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Multiply polynomials

Full solution

Q. Find the product. Simplify your answer.

\newline

2d(-4d^2 + 6)

Apply Distributive Property: Apply the distributive property to multiply $2d$ by each term inside the parentheses. $\newline$ $2d(-4d^2 + 6) = 2d(-4d^2) + 2d(6)$
Multiply $-4d^2$ : Multiply $2d$ by $-4d^2$ . $2d(-4d^2) = -8d^3$
Multiply $6$ : Multiply $2d$ by $6$ . $\newline$ $2d(6) = 12d$
Combine Results: Combine the results from Step $2$ and Step $3$ to get the final simplified expression. $\newline$ $2d(-4d^2 + 6) = -8d^3 + 12d$

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