Question

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:
\[
\boxed{6}
\]