Question

find the product. simplify your answer.
(z - 3)(z + 3)

Explanation:

Step1: Apply difference of squares formula

The formula for the product of a sum and a difference is \((a - b)(a + b) = a^2 - b^2\). Here, \(a = z\) and \(b = 3\).

Step2: Substitute values into the formula

Substituting \(a = z\) and \(b = 3\) into \(a^2 - b^2\), we get \(z^2 - 3^2\).

Step3: Simplify the expression

Simplifying \(3^2\) gives 9, so the expression becomes \(z^2 - 9\).

Answer:

\(z^2 - 9\)