Final answer:
Following the order of operations, the given mathematical expression should be simplified step by step to finally get the result as 57.
Step-by-step explanation:
Let's break this down step-by-step. According to the rules of order of operations (PEMDAS/BODMAS), we solve anything inside brackets first, then exponents/power or roots, then division and multiplication (from left to right), and finally addition and subtraction (from left to right).
Starting from the innermost bracket, 30 ÷ 2 = 15. Then, we multiply this by 3, which gives us 45. So, the expression becomes 172 - [125 + 45]. Now, inside the square brackets, we add 125 and 45, which equals 170.
The expression now becomes {172 - 170} + 5(8 + 3). We solve inside the curly bracket next, which gives us 2. Then, inside the round bracket, 8 + 3 = 11. So, we have 2 + 5*11. According to order of operations, multiplication is performed before addition, so calculate 5*11 first to get 55. Finally, add this to 2 to get 57 as the result.
Learn more about Order of Operations