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

Answer 1

Let's solve the expression step-by-step:

Given expression: \[ 6 - 4(3 - 1)^2 + 16 \]

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

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

3. Square the result: \[ 2^2 = 4 \]

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

5. Multiply: \[ 4(4) = 16 \]

6. Now substitute that back: \[ 6 - 16 + 16 \]

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

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