(x-1)(x+1) Simplify

Jasonbradley

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Jun 17, 2024

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Simplifying (x-1)(x+1)

The expression (x-1)(x+1) is a product of two binomials, and it can be simplified 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

In our expression, (x-1)(x+1), we can identify:

• a = x
• b = 1

Applying the difference of squares pattern, we get:

(x - 1)(x + 1) = x² - 1²

Simplifying Further

Simplifying the expression, we have:

x² - 1² = x² - 1

Therefore, the simplified form of (x-1)(x+1) is x² - 1.

Conclusion

By recognizing the difference of squares pattern, we can simplify the expression (x-1)(x+1) to x² - 1. This simplification is useful in various mathematical operations and problem-solving scenarios.