Find the product. Simplify your answer. (2r + 3)(2r - 4) ______

Apply Distributive Property: First, we need to apply the distributive property to multiply each term in the first binomial by each term in the second binomial. (2r + 3)(2r - 4) = 2r(2r) + 2r(-4) + 3(2r) + 3(-4)Perform Multiplication: Now, we perform the multiplication for each term. 2r(2r) = 4r^2 2r(-4) = -8r 3(2r) = 6r 3(-4) = -12Combine Like Terms: Next, we combine the like terms from the multiplication. 4r^2 - 8r + 6r - 12Final Simplified Expression: Combining the like terms -8r and 6r gives us: 4r^2 - 2r - 12

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Find the product. Simplify your answer. $\newline$ $(2r + 3)(2r - 4)$

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Q. Find the product. Simplify your answer.

\newline

(2r + 3)(2r - 4)

Apply Distributive Property: First, we need to apply the distributive property to multiply each term in the first binomial by each term in the second binomial. $\newline$ $(2r + 3)(2r - 4) = 2r(2r) + 2r(-4) + 3(2r) + 3(-4)$
Perform Multiplication: Now, we perform the multiplication for each term. $\newline$ $2r(2r) = 4r^2$ $\newline$ $2r(-4) = -8r$ $\newline$ $3(2r) = 6r$ $\newline$ $3(-4) = -12$
Combine Like Terms: Next, we combine the like terms from the multiplication. $4r^2 - 8r + 6r - 12$
Final Simplified Expression: Combining the like terms $-8r$ and $6r$ gives us: $4r^2 - 2r - 12$