Find the product. Simplify your answer. -q^2(4q^2 + 8) ______

Identify and Distribute: Identify the expression and use the distributive property. Distribute -q^2 to 4q^2 and 8. -q^2(4q^2 + 8) = -q^2(4q^2) - q^2(8)Simplify -q^2(4q^2): Simplify -q^2(4q^2). Multiply -q^2 and 4q^2. -q^2(4q^2) = -4q^4Simplify q^2(8): Simplify q^2(8). Multiply q^2 and 8. q^2(8) = 8q^2Combine Results: Combine the results from Step 2 and Step 3. We found: -q^2(4q^2) = -4q^4 q^2(8) = 8q^2 Now, combine these to get the simplified form of -q^2(4q^2 + 8). -q^2(4q^2 + 8) = -4q^4 - 8q^2

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Find the product. Simplify your answer. $\newline$ $-q^2(4q^2 + 8)$

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Q. Find the product. Simplify your answer.

\newline

-q^2(4q^2 + 8)

Identify and Distribute: Identify the expression and use the distributive property. $\newline$ Distribute $-q^2$ to $4q^2$ and $8$ . $\newline$ $-q^2(4q^2 + 8) = -q^2(4q^2) - q^2(8)$
Simplify $-q^2(4q^2)$ : Simplify $-q^2(4q^2)$ . Multiply $-q^2$ and $4q^2$ . $-q^2(4q^2) = -4q^4$
Simplify $q^2(8)$ : Simplify $q^2(8)$ . $\newline$ Multiply $q^2$ and $8$ . $\newline$ $q^2(8) = 8q^2$
Combine Results: Combine the results from Step $2$ and Step $3$ . $\newline$ We found: $\newline$ $-q^2(4q^2) = -4q^4$ $\newline$ $q^2(8) = 8q^2$ $\newline$ Now, combine these to get the simplified form of $-q^2(4q^2 + 8)$ . $\newline$ $-q^2(4q^2 + 8) = -4q^4 - 8q^2$