Find the product. Simplify your answer. (r + 3)(4r + 2) ______

Distribute to each term: Distribute (4r + 2) to each term of (r + 3). (r + 3)(4r + 2) = r(4r + 2) + 3(4r + 2)Simplify r(4r + 2): Simplify r(4r + 2). r(4r + 2) = r * 4r + r * 2 = 4r^2 + 2rSimplify 3(4r + 2): Simplify 3(4r + 2). 3(4r + 2) = 3 * 4r + 3 * 2 = 12r + 6Combine the results: Combine the results from Step 2 and Step 3. 4r^2 + 2r + 12r + 6 = 4r^2 + (2r + 12r) + 6 = 4r^2 + 14r + 6

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Find the product. Simplify your answer. $\newline$ $(r + 3)(4r + 2)$ $\newline$ ______

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Algebra 2

Add, subtract, multiply, and divide polynomials

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Q. Find the product. Simplify your answer.

\newline

(r + 3)(4r + 2)

\newline

______

Distribute to each term: Distribute $(4r + 2)$ to each term of $(r + 3)$ . $\newline$ $(r + 3)(4r + 2) = r(4r + 2) + 3(4r + 2)$
Simplify $r(4r + 2)$ : Simplify $r(4r + 2)$ . $\newline$ $r(4r + 2) = r \cdot 4r + r \cdot 2 = 4r^2 + 2r$
Simplify $3(4r + 2)$ : Simplify $3(4r + 2)$ . $\newline$ $3(4r + 2) = 3 \times 4r + 3 \times 2 = 12r + 6$
Combine the results: Combine the results from Step $2$ and Step $3$ . $\newline$ $4r^2 + 2r + 12r + 6 = 4r^2 + (2r + 12r) + 6 = 4r^2 + 14r + 6$