Simplifying (x+10)(x-10)
The expression (x+10)(x-10) represents the product of two binomials. To simplify this expression, we can use 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 case, a = x and b = 10. Applying the pattern, we get:
(x + 10)(x - 10) = x² - 10²
Final Answer
Therefore, the simplified form of (x + 10)(x - 10) is x² - 100.