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

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Multiply a polynomial by a monomial

Full solution

Q. Find the product. Simplify your answer.

\newline

2g^2(-g^2 - g)

Distribute $2g^2$ : Distribute $2g^2$ to both terms inside the parentheses. $\newline$ $2g^2(-g^2 - g) = 2g^2(-g^2) + 2g^2(-g)$
Simplify $-g^2$ : Simplify $2g^2(-g^2)$ . $\newline$ $2g^2(-g^2) = 2 \times g^2 \times -g^2 = -2g^4$
Simplify $-g$ : Simplify $2g^2(-g)$ . $2g^2(-g) = 2 \times g^2 \times -g = -2g^3$
Combine results: Combine the results from Step $2$ and Step $3$ . $\newline$ The simplified form of $2g^2(-g^2 - g)$ is $-2g^4 - 2g^3$ .

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