Question

find the product. simplify your answer completely. (x + 8)(x - 8)

Explanation:

Step1: Apply the difference of squares formula

The formula for the product of \((a + b)(a - b)\) is \(a^2 - b^2\). Here, \(a = x\) and \(b = 8\). So we substitute these values into the formula:
\((x + 8)(x - 8)=x^2 - 8^2\)

Step2: Calculate \(8^2\)

We know that \(8^2 = 64\). Substituting this back into the expression from Step 1, we get:
\(x^2 - 64\)

Answer:

\(x^2 - 64\)