Find the product of (x + 5)(x - 5).
x² - 10x + 25, x² + 10x + 25, x² - 25, x² + 25

Solution:

We will use the algebraic identity a² - b² to find the product.

Given (x + 5)(x - 5)

As we know, that (a + b)(a - b) = a² - b²

Where a = x, b = 5

⇒ (x + 5)(x - 5) = x² - 5²

⇒ (x + 5)(x - 5) = x² - 25

Find the product of (x + 5)(x - 5).

Summary:

The product of (x + 5)(x - 5) is x² - 25.