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

Apply Distributive Property: Apply the distributive property to multiply the two binomials. (4f + 2)(f + 3) = 4f(f + 3) + 2(f + 3)Distribute 4f: Distribute 4f across the terms inside the parentheses. 4f(f + 3) = 4f * f + 4f * 3 = 4f^2 + 12fDistribute 2: Distribute 2 across the terms inside the parentheses. 2(f + 3) = 2 * f + 2 * 3 = 2f + 6Combine Results: Combine the results from Step 2 and Step 3. (4f + 2)(f + 3) = 4f^2 + 12f + 2f + 6Combine Like Terms: Combine like terms. 4f^2 + 12f + 2f + 6 = 4f^2 + (12f + 2f) + 6 = 4f^2 + 14f + 6

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

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(4f + 2)(f + 3)

Apply Distributive Property: Apply the distributive property to multiply the two binomials. $\newline$ $(4f + 2)(f + 3) = 4f(f + 3) + 2(f + 3)$
Distribute $4f$ : Distribute $4f$ across the terms inside the parentheses. $\newline$ \(4f(f + $3$ ) = $4$ f \times f + $4$ f \times $3$ $\newline$ = $4$ f^ $2$ + $12$ f
Distribute $2$ : Distribute $2$ across the terms inside the parentheses. $\newline$ $2(f + 3) = 2 \times f + 2 \times 3$ $\newline$ $= 2f + 6$
Combine Results: Combine the results from Step $2$ and Step $3$ . $\newline$ $(4f + 2)(f + 3) = 4f^2 + 12f + 2f + 6$
Combine Like Terms: Combine like terms. $\newline$ $4f^2 + 12f + 2f + 6 = 4f^2 + (12f + 2f) + 6$ $\newline$ $= 4f^2 + 14f + 6$