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Find the product. Simplify your answer. $\newline$ $2d(d^2 - 5)$

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Multiply a polynomial by a monomial

Full solution

Q. Find the product. Simplify your answer.

\newline

2d(d^2 - 5)

Distribute $2d$ : Distribute $2d$ to both terms inside the parentheses ( $d^2$ and $-5$ ). $\newline$ $2d(d^2 - 5) = 2d(d^2) - 2d(5)$
Simplify $2d(d^2)$ : Simplify $2d(d^2)$ . $2d(d^2) = 2(d \cdot d^2) = 2d^3$
Simplify $2d(5)$ : Simplify $2d(5)$ . $\newline$ $2d(5) = (2 \times 5)d = 10d$
Combine simplified terms: Combine the simplified terms to get the final answer. $2d(d^2 - 5) = 2d^3 - 10d$

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