Identify Expression: Identify the expression after distributing (4k + 2). Distribute (4k + 2) to each term of (8k + 5). (8k + 5)(4k + 2) = 8k(4k + 2) + 5(4k + 2)Distribute Terms: Simplify 8k(4k + 2). 8k(4k + 2) = 8k(4k) + 8k(2) = 32k^2 + 16kSimplify 8k(4k + 2): Simplify 5(4k + 2). 5(4k + 2) = 5(4k) + 5(2) = 20k + 10Simplify 5(4k + 2): Combine the results from Step 2 and Step 3. 8k(4k + 2) + 5(4k + 2) = 32k^2 + 16k + 20k + 10 = 32k^2 + (16k + 20k) + 10 = 32k^2 + 36k + 10

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$(8 k+5)(4 k+2)$

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Algebra 2

Add, subtract, multiply, and divide polynomials

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(8 k+5)(4 k+2)

Identify Expression: Identify the expression after distributing $(4k + 2)$ . $\newline$ Distribute $(4k + 2)$ to each term of $(8k + 5)$ . $\newline$ $(8k + 5)(4k + 2) = 8k(4k + 2) + 5(4k + 2)$
Distribute Terms: Simplify $8k(4k + 2)$ . $\newline$ $8k(4k + 2)$ $\newline$ $= 8k(4k) + 8k(2)$ $\newline$ $= 32k^2 + 16k$
Simplify $8k(4k + 2)$ : Simplify $5(4k + 2)$ . $\newline$ $5(4k + 2)$ $\newline$ = $5(4k) + 5(2)$ $\newline$ = $20k + 10$
Simplify $5(4k + 2)$ : Combine the results from Step $2$ and Step $3$ . $\newline$ 8k(4k + 2) + 5(4k + 2) $\newline= 32k^2 + 16k + 20k + 10 $\newline$ = 32k^2 + (16k + 20k) + 10 $\newline$ = 32k^2 + 36k + 10$