Find the product. Simplify your answer. (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. Calculate the squares of a and b and then subtract the square of b from the square of a. (2q)^2 - (4)^2 = 4q^2 - 16Calculate Squares and Subtract: Now that we have the squares calculated, we can write down the simplified form of the product. The product of (2q - 4)(2q + 4) is 4q^2 - 16.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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

View step-by-step help

Full solution

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 $4q^2 - 16$ .