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

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

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

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(4s + 3)(s - 1)

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