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

Question

6
−
4
(
3
−
1
)
2
+
16
.(1 point)

Answer 1

To solve the expression \( 6 - 4(3 - 1)^2 + 16 \), we will follow the order of operations which is PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

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

2. Evaluate the exponent: \[ (2)^2 = 4 \]

3. Multiply by -4: \[ -4 \times 4 = -16 \]

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

5. Perform the addition and subtraction from left to right: \[ 6 - 16 = -10 \] \[ -10 + 16 = 6 \]

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