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

Apply Distributive Property: Apply the distributive property to multiply the two binomials (s - 1) and (3s - 4). (s - 1)(3s - 4) = s(3s - 4) - 1(3s - 4)Multiply Binomials: Multiply s by each term in the binomial (3s - 4). s(3s - 4) = s(3s) + s(-4) = 3s^2 - 4sCombine Terms: Multiply -1 by each term in the binomial (3s - 4). -1(3s - 4) = -1(3s) + -1(-4) = -3s + 4Combine Like Terms: Combine the results from Step 2 and Step 3. (3s^2 - 4s) + (-3s + 4) = 3s^2 - 4s - 3s + 4Combine like terms. 3s^2 - 4s - 3s + 4 = 3s^2 - 7s + 4

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

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(s - 1)(3s - 4)

Apply Distributive Property: Apply the distributive property to multiply the two binomials $(s - 1)$ and $(3s - 4)$ . $(s - 1)(3s - 4) = s(3s - 4) - 1(3s - 4)$
Multiply Binomials: Multiply $s$ by each term in the binomial $(3s - 4)$ . $s(3s - 4) = s(3s) + s(-4) = 3s^2 - 4s$
Combine Terms: Multiply $-1$ by each term in the binomial $(3s - 4)$ . $-1(3s - 4) = -1(3s) + -1(-4) = -3s + 4$
Combine Like Terms: Combine the results from Step $2$ and Step $3$ . $\newline$ $(3s^2 - 4s) + (-3s + 4)$ $\newline$ $= 3s^2 - 4s - 3s + 4$
Combine Like Terms: Combine the results from Step $2$ and Step $3$ . $\newline$ $(3s^2 - 4s) + (-3s + 4)$ $\newline$ = $3s^2 - 4s - 3s + 4$ Combine like terms. $\newline$ $3s^2 - 4s - 3s + 4$ $\newline$ = $3s^2 - 7s + 4$