(x+2)(x-2) Solve

Jasonbradley

less than a minute read

·

Jun 16, 2024

16

Share

Solving (x+2)(x-2)

The expression (x+2)(x-2) is a product of two binomials, which can be simplified using the difference of squares pattern.

Understanding the Difference of Squares

The difference of squares pattern states that:

(a + b)(a - b) = a² - b²

In our case, a = x and b = 2. Applying the pattern, we get:

(x + 2)(x - 2) = x² - 2²

Simplifying the Expression

Simplifying further:

x² - 2² = x² - 4

Therefore, the simplified form of (x+2)(x-2) is x² - 4.

Key Points

• The difference of squares pattern is a useful tool for simplifying expressions with two binomials where the only difference is the sign between the terms.
• Recognizing this pattern can save time and effort in solving algebraic problems.