Question

multiply.
(x - 5)(x + 5)
simplify your answer.

Explanation:

Step1: Recall the 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, \(a = x\) and \(b = 5\).

Step2: Apply the formula

Substitute \(a=x\) and \(b = 5\) into the formula \((a - b)(a + b)=a^{2}-b^{2}\). We get \((x-5)(x + 5)=x^{2}-5^{2}\).

Step3: Simplify \(5^{2}\)

Since \(5^{2}=25\), the expression becomes \(x^{2}-25\).

Answer:

\(x^{2}-25\)