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

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Multiply a polynomial by a monomial

Full solution

Q. Find the product. Simplify your answer.

\newline

-2p(-p^2 - 3p)

Distribute $-2p$ : We need to distribute $-2p$ to both terms inside the parentheses: $-p^2$ and $-3p$ . $\newline$ $-2p(-p^2 - 3p) = -2p \times -p^2 + -2p \times -3p$
Simplify $-2p \times -p^2$ : Simplify $-2p \times -p^2$ . $-2p \times -p^2 = 2p^3$
Simplify $-2p \times -3p$ : Simplify $-2p \times -3p$ . $-2p \times -3p = 6p^2$
Combine simplified terms: Combine the simplified terms to get the final answer. $2p^3 + 6p^2$

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