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

Apply Distributive Property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the two binomials (2y - 4) and (2y + 1). (2y - 4)(2y + 1) = 2y(2y) + 2y(1) - 4(2y) - 4(1)Perform Multiplication: Perform the multiplication for each term. 2y(2y) = 4y^2 2y(1) = 2y -4(2y) = -8y -4(1) = -4Combine Like Terms: Combine the like terms from the multiplication. 4y^2 + 2y - 8y - 4Simplify Expression: Simplify the expression by combining the like terms 2y and -8y. 4y^2 + (2y - 8y) - 4 4y^2 - 6y - 4

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

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Algebra 1

Multiply two binomials

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Q. Find the product. Simplify your answer.

\newline

(2y - 4)(2y + 1)

Apply Distributive Property: Apply the distributive property (also known as the FOIL method for binomials) to multiply the two binomials $(2y - 4)$ and $(2y + 1)$ . $(2y - 4)(2y + 1) = 2y(2y) + 2y(1) - 4(2y) - 4(1)$
Perform Multiplication: Perform the multiplication for each term. $\newline$ $2y(2y) = 4y^2$ $\newline$ $2y(1) = 2y$ $\newline$ $-4(2y) = -8y$ $\newline$ $-4(1) = -4$
Combine Like Terms: Combine the like terms from the multiplication. $4y^2 + 2y - 8y - 4$
Simplify Expression: Simplify the expression by combining the like terms $2y$ and $-8y$ . $\newline$ $4y^2 + (2y - 8y) - 4$ $\newline$ $4y^2 - 6y - 4$