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

Apply Distributive Property: Apply the distributive property to multiply the two binomials. We need to multiply each term in the first binomial by each term in the second binomial. (k - 4)(k - 3) = k(k - 3) - 4(k - 3)Distribute k: Distribute k to the terms in the second binomial. Multiply k by k and k by -3. k(k - 3) = k*k - k*3 = k^2 - 3kDistribute -4: Distribute -4 to the terms in the second binomial. Multiply -4 by k and -4 by -3. -4(k - 3) = -4*k + 4*3 = -4k + 12Combine Results: Combine the results from Step 2 and Step 3. (k - 4)(k - 3) = k^2 - 3k - 4k + 12Combine Like Terms: Combine like terms. Combine the -3k and -4k terms. k^2 - 3k - 4k + 12 = k^2 - 7k + 12

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

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(k - 4)(k - 3)

Apply Distributive Property: Apply the distributive property to multiply the two binomials. $\newline$ We need to multiply each term in the first binomial by each term in the second binomial. $\newline$ $(k - 4)(k - 3) = k(k - 3) - 4(k - 3)$
Distribute $k$ : Distribute $k$ to the terms in the second binomial. $\newline$ Multiply $k$ by $k$ and $k$ by $-3$ . $\newline$ $k(k - 3) = k\cdot k - k\cdot 3$ $\newline$ $= k^2 - 3k$
Distribute $-4$ : Distribute $-4$ to the terms in the second binomial. $\newline$ Multiply $-4$ by $k$ and $-4$ by $-3$ . $\newline$ -4(k - 3) = -4\cdot k + 4\cdot 3$\newline= -4k + 12$
Combine Results: Combine the results from Step $2$ and Step $3$ . $\newline$ $(k - 4)(k - 3) = k^2 - 3k - 4k + 12$
Combine Like Terms: Combine like terms. Combine the $-3k$ and $-4k$ terms. $k^2 - 3k - 4k + 12 = k^2 - 7k + 12$