Answer:
The answer is 26.
Explanation:
The order of operations is a set of rules that tells us which operations to perform first in a mathematical expression. The order of operations is as follows:
1. Parentheses
2. Exponents
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)
In the expression $5^2- (6+9)÷3+12÷2$, we first evaluate the parentheses. $6+9=15$, so we have $5^2-\frac{15}{3}+12÷2$.
Next, we evaluate the exponent. $5^2=25$, so we have $\frac{25}{3}+12÷2$.
Finally, we evaluate the multiplication and division from left to right. $\frac{25}{3}+6=26$.
Therefore, the answer is 26.