(x-12).jpeg "(x+12)(x-12)")
Understanding (x + 12)(x - 12)
This expression represents the product of two binomials: (x + 12) and (x - 12). It's a classic example of the difference of squares pattern, which is a fundamental concept in algebra.
The Difference of Squares Pattern
The difference of squares pattern states that:
(a + b)(a - b) = a² - b²
In our expression, a = x and b = 12. Therefore, applying the pattern:
(x + 12)(x - 12) = x² - 12²
Simplifying the Expression
The final step is to simplify the expression by squaring 12:
x² - 12² = x² - 144
Conclusion
Therefore, the simplified form of the expression (x + 12)(x - 12) is x² - 144. Understanding the difference of squares pattern is crucial for factoring and simplifying various algebraic expressions.