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

less than a minute read Jun 16, 2024
(2+7x)(2-7x)

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.

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