To solve the expression \(96 - 3 \times 9 - (81 - 57)\), we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
Calculate the expression inside the parentheses: \[ 81 - 57 = 24 \]
Now substitute this back into the expression: \[ 96 - 3 \times 9 - 24 \]
Next, perform the multiplication: \[ 3 \times 9 = 27 \]
Substituting this back, we have: \[ 96 - 27 - 24 \]
Now perform the subtraction from left to right:
- First, calculate \( 96 - 27 \): \[ 96 - 27 = 69 \]
- Then, calculate \( 69 - 24 \): \[ 69 - 24 = 45 \]
Thus, the final answer is: \[ \boxed{45} \]
