Find the product. Simplify your answer. (4n + 2)(2n - 1) ______

Apply Distributive Property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the two binomials. (4n + 2)(2n - 1) = 4n(2n) + 4n(-1) + 2(2n) + 2(-1)Perform Multiplication: Perform the multiplication for each term. 4n(2n) = 8n^2 4n(-1) = -4n 2(2n) = 4n 2(-1) = -2Combine Like Terms: Combine like terms. 8n^2 + (-4n) + 4n + (-2) = 8n^2 + 0n - 2Simplify Expression: Simplify the expression by removing the term with a zero coefficient. 8n^2 - 2

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Find the product. Simplify your answer. $\newline$ $(4n + 2)(2n - 1)$

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Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(4n + 2)(2n - 1)

Apply Distributive Property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the two binomials. $\newline$ $(4n + 2)(2n - 1) = 4n(2n) + 4n(-1) + 2(2n) + 2(-1)$
Perform Multiplication: Perform the multiplication for each term. $\newline$ $4n(2n) = 8n^2$ $\newline$ $4n(-1) = -4n$ $\newline$ $2(2n) = 4n$ $\newline$ $2(-1) = -2$
Combine Like Terms: Combine like terms. $\newline$ $8n^2 + (-4n) + 4n + (-2) = 8n^2 + 0n - 2$
Simplify Expression: Simplify the expression by removing the term with a zero coefficient. $8n^2 - 2$