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.

Learn how to solve the expression 18^2 - 10^2 using the difference of squares formula. This problem covers key algebraic concepts and explains step-by-step how to apply the formula to get the result. Suitable for students in Grades 8-10.

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