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

Jasonbradley

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Jun 16, 2024

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Expanding and Simplifying the Expression (2+7x)(2-7x)

This expression represents the product of two binomials. We can simplify it by using the difference of squares pattern.

Difference of Squares Pattern

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

Applying the Pattern

Let's apply this pattern to our expression:

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, the simplified form of (2 + 7x)(2 - 7x) is 4 - 49x².