Find the product. Simplify your answer. (4f - 1)(f - 3) ______

Apply Distributive Property: Apply the distributive property to multiply the two binomials. (4f - 1)(f - 3) = 4f(f - 3) - 1(f - 3)Distribute 4f: Distribute 4f across the binomial (f - 3). 4f(f - 3) = 4f * f - 4f * 3 = 4f^2 - 12fDistribute -1: Distribute -1 across the binomial (f - 3). -1(f - 3) = -1 * f + 1 * 3 = -f + 3Combine Results: Combine the results from Step 2 and Step 3. (4f - 1)(f - 3) = 4f^2 - 12f - f + 3Combine Like Terms: Combine like terms. 4f^2 - 12f - f + 3 = 4f^2 - 13f + 3

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Find the product. Simplify your answer. $\newline$ $(4f - 1)(f - 3)$

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(4f - 1)(f - 3)

Apply Distributive Property: Apply the distributive property to multiply the two binomials. $\newline$ $(4f - 1)(f - 3) = 4f(f - 3) - 1(f - 3)$
Distribute $4f$ : Distribute $4f$ across the binomial $(f - 3)$ . $\newline$ $4f(f - 3) = 4f \times f - 4f \times 3$ $\newline$ $= 4f^2 - 12f$
Distribute $-1$ : Distribute $-1$ across the binomial $(f - 3)$ . $-1(f - 3) = -1 \times f + 1 \times 3 = -f + 3$
Combine Results: Combine the results from Step $2$ and Step $3$ . $\newline$ $(4f - 1)(f - 3) = 4f^2 - 12f - f + 3$
Combine Like Terms: Combine like terms. $\newline$ $4f^2 - 12f - f + 3 = 4f^2 - 13f + 3$