(3t+4)(3t–4)

Jasonbradley

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Jun 16, 2024

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Factoring the Difference of Squares: (3t + 4)(3t – 4)

This expression represents a special case of factoring known as the difference of squares. The formula for the difference of squares is:

a² - b² = (a + b)(a - b)

Let's break down how to apply this to our expression:

1. Identify the squares:

• (3t)² = 9t²
• 4² = 16

2. Apply the formula:

• (3t + 4)(3t – 4) = (3t)² - 4²

3. Simplify:

• (3t)² - 4² = 9t² - 16

Therefore, the factored form of (3t + 4)(3t – 4) is 9t² - 16. This demonstrates the difference of squares pattern, where the product of two binomials with identical terms but opposite signs results in the difference of their squares.