Find the product. Simplify your answer. 2x^2(-x^2 - x) ______

Distribute 2x^2: Distribute 2x^2 to both terms inside the parentheses. 2x^2(-x^2 - x) = 2x^2(-x^2) + 2x^2(-x)Simplify -x^2: Simplify 2x^2(-x^2). 2x^2(-x^2) = 2 * x^2 * -x^2 = -2x^4Simplify -x: Simplify 2x^2(-x). 2x^2(-x) = 2 * x^2 * -x = -2x^3Combine Results: Combine the results from Step 2 and Step 3. The simplified form of 2x^2(-x^2 - x) is -2x^4 - 2x^3.

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

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Algebra 1

Multiply a polynomial by a monomial

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Q. Find the product. Simplify your answer.

\newline

2x^2(-x^2 - x)

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