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Solve the multi-step problem 6−4(3−1)^2+16

.(1 point)

1 answer

To solve the expression \( 6 - 4(3 - 1)^2 + 16 \), we follow the order of operations (parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right).

  1. Start with the parentheses: \[ 3 - 1 = 2 \]

  2. Now substitute back into the expression: \[ 6 - 4(2)^2 + 16 \]

  3. Next, calculate the exponent: \[ (2)^2 = 4 \]

  4. Substitute this back into the expression: \[ 6 - 4(4) + 16 \]

  5. Now perform the multiplication: \[ 4(4) = 16 \]

  6. Substitute this back into the expression: \[ 6 - 16 + 16 \]

  7. Now perform the addition and subtraction from left to right: \[ 6 - 16 = -10 \] \[ -10 + 16 = 6 \]

Thus, the final result is: \[ \boxed{6} \]