Find the product. Simplify your answer. (4s + 4)(2s + 4) ______

Identify Expression: Identify the expression after distributing (2s + 4). Distribute (2s + 4) to each term of (4s + 4). (4s + 4)(2s + 4) = 4s(2s + 4) + 4(2s + 4)Distribute to Each Term: Simplify 4s(2s + 4). 4s(2s + 4) = 4s(2s) + 4s(4) = 8s^2 + 16sSimplify 4s(2s + 4): Simplify 4(2s + 4). 4(2s + 4) = 4(2s) + 4(4) = 8s + 16Simplify 4(2s + 4): Combine the results from Step 2 and Step 3. 4s(2s + 4) + 4(2s + 4) = 8s^2 + 16s + 8s + 16 = 8s^2 + (16s + 8s) + 16 = 8s^2 + 24s + 16

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Find the product. Simplify your answer. $\newline$ $(4s + 4)(2s + 4)$

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Algebra 2

Add, subtract, multiply, and divide polynomials

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Q. Find the product. Simplify your answer.

\newline

(4s + 4)(2s + 4)

Identify Expression: Identify the expression after distributing $(2s + 4)$ . Distribute $(2s + 4)$ to each term of $(4s + 4)$ . $(4s + 4)(2s + 4) = 4s(2s + 4) + 4(2s + 4)$
Distribute to Each Term: Simplify $4s(2s + 4)$ . $\newline$ $4s(2s + 4)$ $\newline$ = $4s(2s) + 4s(4)$ $\newline$ = $8s^2 + 16s$
Simplify $4s(2s + 4)$ : Simplify $4(2s + 4)$ .
$4(2s + 4)$
= $4(2s) + 4(4)$
= $8s + 16$
Simplify $4(2s + 4)$ : Combine the results from Step $2$ and Step $3$ . $\newline$ 4s(2s + 4) + 4(2s + 4) $\newline= 8s^2 + 16s + 8s + 16 $\newline$ = 8s^2 + (16s + 8s) + 16 $\newline$ = 8s^2 + 24s + 16$