Question Which step contains an error using the Commutative Property of Addition in verifying 8+x2+17x−x2+4=10+4x2+10x−4x2+2+7x ? Step 1: 8+4+x2−x2+17x=10+2+10x−4x2+7x +4x2 Step 2: 8+4+17x+x2−x2=10+2+4x2−4x2+10x+7x Step 3: 12+17x+x2=12−x2+17x (1 point) Responses Step 1 Step 1 Step 2 Step 2 No mistake was made. No mistake was made. Step 3

To identify the error using the Commutative Property of Addition in the steps provided, let's analyze each step.

**Step 1:**
You have:
\[ 8 + 4 + x^2 - x^2 + 17x = 10 + 2 + 10x - 4x^2 + 4x^2 \]
On the left side, the terms combine to \( 12 + 17x \) (since \( x^2 - x^2 = 0 \)).
On the right side, the term \( -4x^2 + 4x^2 \) cancels out to 0, leaving \( 12 + 10x \).

So, this simplifies to:
\[ 12 + 17x = 12 + 10x \]
Here, it seems like both sides are simplified correctly.

**Step 2:**
From Step 1, we get:
\[ 12 + 17x + x^2 = 12 + 10x + 2 - 4x^2 + 4x^2 \]
In this step, both sides appear to still have the same function as we just canceled out the \( 4x^2 \).
Both sides should fold correctly into \( 12 + 17x \) on the left and \( 12 + 10x + 2 \).

**Step 3:**
Step 3 indicates:
\[ 12 + 17x + x^2 = 12 - x^2 + 17x \]
This suggests that \( x^2 \) from the left side should somehow appear negated on the right side.

In analyzing these steps, the error seems to occur when arriving at Step 3, where it incorrectly shows that \( x^2 \) moves from one side and is reflected incorrectly. The terms \( x^2 \) should not be transposed unless handled with proper justification.

So the mistake was made in **Step 3**, where the equation becomes erroneous due to improper cancellation or transfer of \( x^2 \).

Thus, the correct answer is **Step 3**.