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

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Multiply two binomials

Full solution

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. $2k^2 - 4k + k - 2 = 2k^2 - 3k - 2$

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