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

Question

.(1 point)

Answer 1

To solve the expression \( 6 - 4(3 - 1)^2 + 16 \), we will follow the order of operations:

1. Parentheses: Calculate inside the parentheses first. \[ 3 - 1 = 2 \]

2. Exponents: Now we square the result from the parentheses. \[ (3 - 1)^2 = 2^2 = 4 \]

3. Multiplication: Next, multiply by \( -4 \). \[ -4 \times 4 = -16 \]

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

5. Addition and Subtraction: Perform the operations from left to right. \[ 6 - 16 = -10 \] \[ -10 + 16 = 6 \]

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