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

Distribute k in binomial: Now, we will distribute k to both terms in the binomial (k - 3). k(k - 3) = k*k - k*3 = k^2 - 3kDistribute 1 in binomial: Next, we will distribute 1 to both terms in the binomial (k - 3). 1(k - 3) = 1*k - 1*3 = k - 3Combine distributed terms: Now, we will combine the results from the previous steps to get the full expression. (k + 1)(k - 3) = (k^2 - 3k) + (k - 3)Simplify expression: Finally, we will combine like terms to simplify the expression. k^2 - 3k + k - 3 = k^2 - 2k - 3

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

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(k + 1)(k - 3)

Distribute $k$ in binomial: Now, we will distribute $k$ to both terms in the binomial $(k - 3)$ . $\newline$ $k(k - 3) = k\cdot k - k\cdot 3$ $\newline$ $= k^2 - 3k$
Distribute $1$ in binomial: Next, we will distribute $1$ to both terms in the binomial $(k - 3)$ . $\newline$ $1(k - 3) = 1\cdot k - 1\cdot 3$ $\newline$ $= k - 3$
Combine distributed terms: Now, we will combine the results from the previous steps to get the full expression. $\newline$ $(k + 1)(k - 3) = (k^2 - 3k) + (k - 3)$
Simplify expression: Finally, we will combine like terms to simplify the expression. $\newline$ $k^2 - 3k + k - 3$ $\newline$ = $k^2 - 2k - 3$