Find the product. Simplify your answer. (n - 2)(3n + 1) ______

Multiply and Simplify: Now, we will simplify n(3n + 1). Multiply n by 3n and n by 1. n(3n + 1) = n(3n) + n(1) = 3n^2 + nMultiply -2: Next, we will simplify -2(3n + 1). Multiply -2 by 3n and -2 by 1. -2(3n + 1) = -2(3n) - 2(1) = -6n - 2Combine Results: Now, we combine the results from the previous steps. (n - 2)(3n + 1) = 3n^2 + n - 6n - 2Combine Like Terms: Finally, we combine like terms to simplify the expression. 3n^2 + n - 6n - 2 = 3n^2 - 5n - 2

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Find the product. Simplify your answer. $\newline$ $(n - 2)(3n + 1)$

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Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(n - 2)(3n + 1)

Multiply and Simplify: Now, we will simplify $n(3n + 1)$ . $\newline$ Multiply $n$ by $3n$ and $n$ by $1$ . $\newline$ $n(3n + 1) = n(3n) + n(1) = 3n^2 + n$
Multiply $-2$ : Next, we will simplify $-2(3n + 1)$ . Multiply $-2$ by $3n$ and $-2$ by $1$ . $-2(3n + 1) = -2(3n) - 2(1) = -6n - 2$
Combine Results: Now, we combine the results from the previous steps. $\newline$ $(n - 2)(3n + 1) = 3n^2 + n - 6n - 2$
Combine Like Terms: Finally, we combine like terms to simplify the expression. $3n^2 + n - 6n - 2 = 3n^2 - 5n - 2$