(2x+3)(2x-3) Simplify

Jasonbradley

less than a minute read

·

Jun 16, 2024

21

Share

Simplifying (2x + 3)(2x - 3)

The expression (2x + 3)(2x - 3) represents the product of two binomials. We can simplify it using the difference of squares pattern.

The Difference of Squares Pattern

The difference of squares pattern states that:

(a + b)(a - b) = a² - b²

Applying the Pattern

1. Identify 'a' and 'b':

   • In our expression, a = 2x and b = 3.

2. Substitute into the pattern:

   • (2x + 3)(2x - 3) = (2x)² - (3)²

3. Simplify:

   • (2x)² - (3)² = 4x² - 9

Conclusion

Therefore, the simplified form of (2x + 3)(2x - 3) is 4x² - 9. This process demonstrates how recognizing common algebraic patterns can help simplify expressions quickly and efficiently.