Find the product. Simplify your answer. -3g^2(-g^2 + 6) ______

Distribute -3g^2: Distribute -3g^2 to both terms inside the parentheses: -g^2 and +6. -3g^2(-g^2 + 6) = -3g^2(-g^2) + -3g^2(6)Simplify -3g^2(-g^2): Simplify -3g^2(-g^2). -3g^2(-g^2) = -3 * g^2 * -g^2 = 3g^4 (since a negative times a negative is a positive)Simplify -3g^2(6): Simplify -3g^2(6). -3g^2(6) = -3 * 6 * g^2 = -18g^2Combine simplified terms: Combine the simplified terms to get the final answer. -3g^2(-g^2 + 6) = 3g^4 - 18g^2

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Find the product. Simplify your answer. $\newline$ $-3g^2(-g^2 + 6)$

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Algebra 1

Multiply a polynomial by a monomial

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Q. Find the product. Simplify your answer.

\newline

-3g^2(-g^2 + 6)

Distribute $-3g^2$ : Distribute $-3g^2$ to both terms inside the parentheses: $-g^2$ and $+6$ . $\newline$ $-3g^2(-g^2 + 6) = -3g^2(-g^2) + -3g^2(6)$
Simplify $-3g^2(-g^2)$ : Simplify $-3g^2(-g^2)$ .
$-3g^2(-g^2) = -3 \times g^2 \times -g^2 = 3g^4$ (since a negative times a negative is a positive)
Simplify $-3g^2(6)$ : Simplify $-3g^2(6)$ . $\newline$ $-3g^2(6) = -3 \times 6 \times g^2 = -18g^2$
Combine simplified terms: Combine the simplified terms to get the final answer. $\newline$ $-3g^2(-g^2 + 6) = 3g^4 - 18g^2$