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

Apply formula: Apply the difference of squares formula. The expression (z + 2)(z - 2) is a difference of squares, which can be simplified using the formula a^2 - b^2 = (a + b)(a - b), where a = z and b = 2. So, (z + 2)(z - 2) = z^2 - 2^2.Calculate squares: Calculate the squares and simplify the expression. Now we calculate z^2 and 2^2. z^2 is the square of z, and 2^2 is the square of 2, which is 4. So, (z + 2)(z - 2) = z^2 - 4.Write final form: Write the final simplified form. The final simplified form of the product is z^2 - 4.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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

View step-by-step help

Full solution

Q. Find the product. Simplify your answer.

\newline

(z + 2)(z - 2)

Apply formula: Apply the difference of squares formula. $\newline$ The expression $(z + 2)(z - 2)$ is a difference of squares, which can be simplified using the formula $a^2 - b^2 = (a + b)(a - b)$ , where $a = z$ and $b = 2$ . $\newline$ So, $(z + 2)(z - 2) = z^2 - 2^2$ .
Calculate squares: Calculate the squares and simplify the expression. $\newline$ Now we calculate $z^2$ and $2^2$ . $\newline$ $z^2$ is the square of $z$ , and $2^2$ is the square of $2$ , which is $4$ . $\newline$ So, $(z + 2)(z - 2) = z^2 - 4$ .
Write final form: Write the final simplified form. $\newline$ The final simplified form of the product is $z^2 - 4$ .