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

Identify Binomials: We're multiplying two binomials that are conjugates of each other, (2f - 4)(2f + 4).Apply Formula: Use the formula (a - b)(a + b) = a^2 - b^2 to simplify the expression.Determine a and b: Identify a and b. Here, a = 2f and b = 4.Substitute into Formula: Plug a and b into the formula: (2f)^2 - (4)^2.Calculate Squares: Calculate (2f)^2 and (4)^2: (2f)^2 = 4f^2 and (4)^2 = 16.Subtract Squares: Subtract the squares: 4f^2 - 16.

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

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Algebra 1

Multiply two binomials: special cases

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Q. Find the product. Simplify your answer.

\newline

(2f - 4)(2f + 4)

\newline

_____

Identify Binomials: We're multiplying two binomials that are conjugates of each other, $(2f - 4)(2f + 4)$ .
Apply Formula: Use the formula $(a - b)(a + b) = a^2 - b^2$ to simplify the expression.
Determine $a$ and $b$ : Identify $a$ and $b$ . Here, $a = 2f$ and $b = 4$ .
Substitute into Formula: Plug $a$ and $b$ into the formula: $(2f)^2 - (4)^2$ .
Calculate Squares: Calculate $(2f)^2$ and $(4)^2$ : $(2f)^2 = 4f^2$ and $(4)^2 = 16$ .
Subtract Squares: Subtract the squares: $4f^2 - 16$ .