67-5times(8-5)^2

1 answer

To solve the expression \( 67 - 5 \times (8 - 5)^2 \), we follow the order of operations (PEMDAS/BODMAS):

  1. Parentheses: Calculate \( (8 - 5) \): \[ 8 - 5 = 3 \]

  2. Exponentiation: Now calculate \( (3)^2 \): \[ 3^2 = 9 \]

  3. Multiplication: Next, multiply by 5: \[ 5 \times 9 = 45 \]

  4. Subtraction: Finally, subtract from 67: \[ 67 - 45 = 22 \]

So, the final result is: \[ \boxed{22} \]