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

Identify and Distribute: Identify the expression and use the distributive property. We need to distribute -4f to both terms inside the parentheses: -4f^2 and 4f. -4f(-4f^2 + 4f) = -4f(-4f^2) + -4f(4f)Simplify -4f(-4f^2): Simplify -4f(-4f^2). Multiply -4f and -4f^2. -4f(-4f^2) = 16f^3Simplify -4f(4f): Simplify -4f(4f). Multiply -4f and 4f. -4f(4f) = -16f^2Combine Results: Combine the results from Step 2 and Step 3. We found: -4f(-4f^2) = 16f^3 -4f(4f) = -16f^2 Now, combine these to get the simplified form of -4f(-4f^2 + 4f). -4f(-4f^2 + 4f) = 16f^3 - 16f^2

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

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Q. Find the product. Simplify your answer.

\newline

-4f(-4f^2 + 4f)

Identify and Distribute: Identify the expression and use the distributive property. $\newline$ We need to distribute $-4f$ to both terms inside the parentheses: $-4f^2$ and $4f$ . $\newline$ $-4f(-4f^2 + 4f) = -4f(-4f^2) + -4f(4f)$
Simplify $-4f(-4f^2)$ : Simplify $-4f(-4f^2)$ . $\newline$ Multiply $-4f$ and $-4f^2$ . $\newline$ $-4f(-4f^2) = 16f^3$
Simplify $-4f(4f)$ : Simplify $-4f(4f)$ . $\newline$ Multiply $-4f$ and $4f$ . $\newline$ $-4f(4f) = -16f^2$
Combine Results: Combine the results from Step $2$ and Step $3$ . $\newline$ We found: $\newline$ $-4f(-4f^2) = 16f^3$ $\newline$ $-4f(4f) = -16f^2$ $\newline$ Now, combine these to get the simplified form of $-4f(-4f^2 + 4f)$ . $\newline$ $-4f(-4f^2 + 4f) = 16f^3 - 16f^2$