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

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Multiply a polynomial by a monomial

Full solution

Q. Find the product. Simplify your answer.

\newline

2d(4d^2 - 6)

Distribute $2d$ : Distribute $2d$ to both terms inside the parentheses. $\newline$ $2d(4d^2 - 6) = 2d \times 4d^2 - 2d \times 6$
Multiply $2d$ by $4d^2$ : Multiply $2d$ by $4d^2$ . $2d \times 4d^2 = 8d^3$
Multiply $2d$ by $-6$ : Multiply $2d$ by $-6$ . $2d \times -6 = -12d$
Combine results: Combine the results from Step $2$ and Step $3$ . $\newline$ $2d(4d^2 - 6) = 8d^3 - 12d$

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