Find the product. Simplify your answer. (3n + 4)(4n - 1) ______

Apply Distributive Property: Apply the distributive property to multiply the two binomials. We need to multiply each term in the first binomial by each term in the second binomial. (3n + 4)(4n - 1) = 3n(4n) + 3n(-1) + 4(4n) + 4(-1)Perform Multiplication for Each Term: Perform the multiplication for each term. Now we multiply the terms together. 3n(4n) = 12n^2 3n(-1) = -3n 4(4n) = 16n 4(-1) = -4Combine Like Terms: Combine like terms. Now we add the results of the multiplications together, combining like terms. 12n^2 + (-3n) + 16n + (-4) 12n^2 + 13n - 4

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Find the product. Simplify your answer. $\newline$ $(3n + 4)(4n - 1)$

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Math Problems

Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(3n + 4)(4n - 1)

Apply Distributive Property: Apply the distributive property to multiply the two binomials. $\newline$ We need to multiply each term in the first binomial by each term in the second binomial. $\newline$ $(3n + 4)(4n - 1) = 3n(4n) + 3n(-1) + 4(4n) + 4(-1)$
Perform Multiplication for Each Term: Perform the multiplication for each term. $\newline$ Now we multiply the terms together. $\newline$ $3n(4n) = 12n^2$ $\newline$ $3n(-1) = -3n$ $\newline$ $4(4n) = 16n$ $\newline$ $4(-1) = -4$
Combine Like Terms: Combine like terms. $\newline$ Now we add the results of the multiplications together, combining like terms. $\newline$ $12n^2 + (-3n) + 16n + (-4)$ $\newline$ $12n^2 + 13n - 4$