Find the product. Simplify your answer. -4(z^2 - 7) ______

Identify and Distribute: Identify the expression and use the distributive property. We need to distribute -4 to both z^2 and -7. -4(z^2 - 7) = -4 * z^2 - 4 * (-7)Simplify z^2: Simplify -4 * z^2. Multiply -4 and z^2. -4 * z^2 = -4z^2Simplify -7: Simplify -4 * (-7). Multiply -4 and -7. -4 * (-7) = 28Combine Results: Combine the results from Step 2 and Step 3. We found: -4 * z^2 = -4z^2 -4 * (-7) = 28 Now, combine these to get the simplified form of -4(z^2 - 7). -4(z^2 - 7) = -4z^2 + 28

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Find the product. Simplify your answer. $\newline$ $-4(z^2 - 7)$

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Q. Find the product. Simplify your answer.

\newline

-4(z^2 - 7)

Identify and Distribute: Identify the expression and use the distributive property. $\newline$ We need to distribute $-4$ to both $z^2$ and $-7$ . $\newline$ $-4(z^2 - 7) = -4 \times z^2 - 4 \times (-7)$
Simplify $z^2$ : Simplify $-4 \times z^2$ . $\newline$ Multiply $-4$ and $z^2$ . $\newline$ $-4 \times z^2 = -4z^2$
Simplify $-7$ : Simplify $-4 \times (-7)$ . $\newline$ Multiply $-4$ and $-7$ . $\newline$ $-4 \times (-7) = 28$
Combine Results: Combine the results from Step $2$ and Step $3$ . $\newline$ We found: $\newline$ $-4 \times z^2 = -4z^2$ $\newline$ $-4 \times (-7) = 28$ $\newline$ Now, combine these to get the simplified form of $-4(z^2 - 7)$ . $\newline$ $-4(z^2 - 7) = -4z^2 + 28$