Find the product. Simplify your answer. (2k + 1)(k - 2) ______

Distribute 2k: Now, we will distribute 2k across the terms in the second binomial. 2k(k - 2) = 2k * k - 2k * 2 = 2k^2 - 4kDistribute 1: Next, we will distribute 1 across the terms in the second binomial. 1(k - 2) = 1 * k - 1 * 2 = k - 2Combine terms: Now, we will combine the results from the previous steps. (2k + 1)(k - 2) = (2k^2 - 4k) + (k - 2) = 2k^2 - 4k + k - 2Simplify expression: Finally, we will combine like terms to simplify the expression. 2k^2 - 4k + k - 2 = 2k^2 - 3k - 2

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Find the product. Simplify your answer. $\newline$ $(2k + 1)(k - 2)$

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(2k + 1)(k - 2)

Distribute $2k$ : Now, we will distribute $2k$ across the terms in the second binomial. $\newline$ $2k(k - 2) = 2k \times k - 2k \times 2$ $\newline$ $= 2k^2 - 4k$
Distribute $1$ : Next, we will distribute $1$ across the terms in the second binomial. $1(k - 2) = 1 \times k - 1 \times 2$ $= k - 2$
Combine terms: Now, we will combine the results from the previous steps. $\newline$ $(2k + 1)(k - 2) = (2k^2 - 4k) + (k - 2)$ $\newline$ $= 2k^2 - 4k + k - 2$
Simplify expression: Finally, we will combine like terms to simplify the expression. $2k^2 - 4k + k - 2 = 2k^2 - 3k - 2$