(2-18÷9)-(2-25)

(2 - 18 ÷ 9) - (2 - 25)

First, we simplify the division: 18 ÷ 9 = 2.

Thus, the expression becomes: (2 - 2) - (2 - 25).

We can further simplify the parentheses: 2 - 2 = 0 and 2 - 25 = -23.

The expression then becomes: 0 - (-23).

When we subtract a negative number, it becomes addition: 0 + 23.

Therefore, the final answer is 23.

To solve this problem step-by-step, follow the order of operations, which is also known as PEMDAS.

Step 1: Evaluate the division inside the parentheses.
18 ÷ 9 = 2

Step 2: Simplify the expression inside the first set of parentheses.
(2 - 2) - (2 - 25) = 0 - (-23)

Step 3: Perform the subtraction.
0 - (-23) = 0 + 23 = 23

Therefore, the final result is 23.