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

Distribute with 2n and -3: Distribute (3n - 1) with 2n and -3. (2n - 3)(3n - 1) = 2n(3n - 1) - 3(3n - 1)Simplify 2n(3n - 1): Simplify 2n(3n - 1). Multiply 2n to 3n and -1. 2n(3n - 1) = 2n(3n) + 2n(-1) = 6n^2 - 2nSimplify -3(3n - 1): Simplify -3(3n - 1). Multiply -3 to 3n and -1. -3(3n - 1) = -3(3n) + 3(1) = -9n + 3Combine simplified forms: Combine the simplified forms of 2n(3n - 1) and -3(3n - 1). (2n - 3)(3n - 1) = 6n^2 - 2n - 9n + 3Combine like terms: Combine like terms. 6n^2 - 2n - 9n + 3 = 6n^2 - 11n + 3

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

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(2n - 3)(3n - 1)

Distribute with $2n$ and $-3$ : Distribute $(3n - 1)$ with $2n$ and $-3$ . $\newline$ $(2n - 3)(3n - 1) = 2n(3n - 1) - 3(3n - 1)$
Simplify $2n(3n - 1)$ : Simplify $2n(3n - 1)$ . $\newline$ Multiply $2n$ to $3n$ and $-1$ . $\newline$ $2n(3n - 1) = 2n(3n) + 2n(-1) = 6n^2 - 2n$
Simplify $-3(3n - 1)$ : Simplify $-3(3n - 1)$ . $\newline$ Multiply $-3$ to $3n$ and $-1$ . $\newline$ $-3(3n - 1) = -3(3n) + 3(1) = -9n + 3$
Combine simplified forms: Combine the simplified forms of $2n(3n - 1)$ and $-3(3n - 1)$ . $\newline$ $(2n - 3)(3n - 1) = 6n^2 - 2n - 9n + 3$
Combine like terms: Combine like terms. $6n^2 - 2n - 9n + 3 = 6n^2 - 11n + 3$