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(x+8)(x-8) Simplify

less than a minute read Jun 17, 2024
(x+8)(x-8) Simplify

Simplifying (x+8)(x-8)

This expression represents the product of two binomials: (x+8) and (x-8). We can simplify it using the difference of squares pattern.

The Difference of Squares Pattern

The difference of squares pattern states:

(a + b)(a - b) = a² - b²

This pattern is helpful because it allows us to quickly multiply two binomials with the same terms but opposite signs.

Applying the Pattern

Let's apply this pattern to our expression:

  1. Identify a and b:

    • In our expression, a = x and b = 8.

  2. Substitute into the pattern:

    • (x + 8)(x - 8) = x² - 8²

  3. Simplify:

    • x² - 8² = x² - 64

The Simplified Expression

Therefore, the simplified form of (x+8)(x-8) is x² - 64.

This expression is a quadratic expression in its simplest form.

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