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

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Multiply polynomials

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Q. Find the product. Simplify your answer.

\newline

(2q - 4)(2q + 4)

Apply Difference of Squares Formula: We will use the difference of squares formula, which states that $(a - b)(a + b) = a^2 - b^2$ . Here, $a$ is $2q$ and $b$ is $4$ . $\newline$ Calculate the squares of $a$ and $b$ and then subtract the square of $b$ from the square of $a$ . $\newline$ $(2q)^2 - (4)^2 = 4q^2 - 16$
Calculate Squares and Subtract: Now that we have the squares calculated, we can write down the simplified form of the product. $\newline$ The product of $(2q - 4)(2q + 4)$ is $4q^2 - 16$ .

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