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

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

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

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Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(k - 4)(k + 1)

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