(2+7x)(2-7x)

Jasonbradley

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Jun 16, 2024

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Expanding (2 + 7x)(2 - 7x)

This expression is a classic example of a difference of squares. Let's break it down:

Understanding the Difference of Squares Pattern

The difference of squares pattern states: (a + b)(a - b) = a² - b²

In our case, a = 2 and b = 7x.

Applying the Pattern

1. Identify 'a' and 'b':

   • a = 2
   • b = 7x

2. Substitute into the pattern:

   • (2 + 7x)(2 - 7x) = 2² - (7x)²

3. Simplify:

   • 2² - (7x)² = 4 - 49x²

Final Result

Therefore, (2 + 7x)(2 - 7x) expands to 4 - 49x².