Find the product. Simplify your answer. -4m^2(m^2 + 3m) ______

Identify expression: Identify the expression using the distributive property. Distribute -4m^2 to m^2 and 3m. -4m^2(m^2 + 3m) = -4m^2(m^2) - 4m^2(3m)Distribute terms: Simplify -4m^2(m^2). Multiply -4m^2 and m^2. -4m^2(m^2) = -4m^(2+2) = -4m^4Simplify m^2: Simplify -4m^2(3m). Multiply -4m^2 and 3m. -4m^2(3m) = -12m^(2+1) = -12m^3Simplify 3m: Combine the results from Step 2 and Step 3. We found: -4m^2(m^2) = -4m^4 -4m^2(3m) = -12m^3 Now, combine these to get the simplified form of -4m^2(m^2 + 3m). -4m^2(m^2 + 3m) = -4m^4 - 12m^3

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Find the product. Simplify your answer. $\newline$ $-4m^2(m^2 + 3m)$

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Q. Find the product. Simplify your answer.

\newline

-4m^2(m^2 + 3m)

Identify expression: Identify the expression using the distributive property. $\newline$ Distribute $-4m^2$ to $m^2$ and $3m$ . $\newline$ $-4m^2(m^2 + 3m) = -4m^2(m^2) - 4m^2(3m)$
Distribute terms: Simplify $-4m^2(m^2)$ . Multiply $-4m^2$ and $m^2$ . $-4m^2(m^2) = -4m^{(2+2)} = -4m^4$
Simplify $m^2$ : Simplify $-4m^2(3m)$ . $\newline$ Multiply $-4m^2$ and $3m$ . $\newline$ $-4m^2(3m) = -12m^{2+1} = -12m^3$
Simplify $3m$ : Combine the results from Step $2$ and Step $3$ . $\newline$ We found: $\newline$ $-4m^2(m^2) = -4m^4$ $\newline$ $-4m^2(3m) = -12m^3$ $\newline$ Now, combine these to get the simplified form of $-4m^2(m^2 + 3m)$ . $\newline$ $-4m^2(m^2 + 3m) = -4m^4 - 12m^3$