To solve the expression (-5)^2 - 4 × (6 ÷ ((-7) + 8)) × 3, we follow the order of operations (also known as PEMDAS):
1. Start with the innermost parentheses: (-7) + 8 = 1.The expression becomes (-5)^2 - 4 × (6 ÷ 1) × 3.
2. Next, evaluate any exponentiation: (-5)^2 = 25.The expression becomes 25 - 4 × (6 ÷ 1) × 3.
3. Then, division: 6 ÷ 1 = 6.The expression becomes 25 - 4 × 6 × 3.
4. Finish multiplication from left to right: 4 × 6 = 24.The expression becomes 25 - 24 × 3.5. Perform the remaining multiplication: 24 × 3 = 72.The expression becomes 25 - 72.6. Finally, subtract: 25 - 72 = -47.So, (-5)^2 - 4 × (6 ÷ ((-7) + 8)) × 3 equals -47.