The expression $18^2 - 10^2$ involves subtracting two squares. This is a difference of squares problem, which can be solved by using the identity:

$a^2 - b^2 = (a - b)(a + b)$

Here, $a = 18$ and $b = 10$. Applying the identity:

$18^2 - 10^2 = (18 - 10)(18 + 10) = (8)(28) = 224$

Thus, the result is 224.

Would you like more details or have any questions about this solution?

Here are some related questions you might consider:

1. What is the general formula for factoring the difference of squares?
2. How can this be applied to larger numbers, such as $100^2 - 50^2$?
3. How does the difference of squares identity relate to factoring polynomials?
4. What happens when the numbers are not perfect squares, like $18.5^2 - 10^2$?
5. How can you expand and simplify expressions involving the sum of squares?

Tip: The difference of squares formula is useful for quickly simplifying expressions with squares, especially in algebraic factorizations.