### Instruction: Compute $55^2 - 45^2$ in your head.### Response: I notice that this problem involves the difference of two squares, which can be factored using the formula $(a^2 - b^2) = (a + b)(a - b)$.
In this case, $a = 55$ and $b = 45$, so I can rewrite the expression as $(55 + 45)(55 - 45)$.