To solve the expression \( 67 - 5x(8 - 5)^2 \), we will follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and then addition and subtraction (from left to right).
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Start with the parentheses: \[ 8 - 5 = 3 \]
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Next, we need to evaluate the exponent: \[ (8 - 5)^2 = 3^2 = 9 \]
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Substitute back into the expression: \[ 67 - 5x(9) \]
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Now, distribute: \[ 67 - 45x \]
Therefore, the expression simplifies to: \[ 67 - 45x \]