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 2 Step 2 No mistake was made. No mistake was made. Step 3 Step 3 Step 1 Step 1 Skip to navigation

To identify the step that contains an error using the Commutative Property of Addition in the verification of the equation, let's analyze each step closely.

1. **Step 1**:
- The expression simplifies correctly, collecting like terms.
- \(8 + 4 + x^2 - x^2 + 17x\) is correctly rearranged to \(8 + 4 + 17x + x^2 - x^2\).

2. **Step 2**:
- The left-hand side \(10 + 2 + 10x - 4x^2 + 7x\) is rearranged properly.
- However, notice that on the right-hand side, we have \(10 + 2 + 4x^2 - 4x^2 + 10x + 7x\). The \(4x^2\) and \(-4x^2\) cancel each other out, which makes the right-hand side \(12 + 10x + 7x\) or \(12 + 17x\).
- So, it seems that \(10 + 2 + 4x^2 - 4x^2 + 10x + 7x\) in step 2 is not showing a mistake, but more of rearrangement.

3. **Step 3**:
- The equation states \(12 + 17x + x^2 = 12 - x^2 + 17x\).
- This indicates the left side has \(x^2\) while the right side has \(-x^2\), suggesting an imbalance created in this step.

To summarize, the error in verification through the commutative property of addition occurs in **Step 3**, where the two sides of the equation are not equal due to having \(x^2\) on the left and \(-x^2\) on the right.

So, the correct response is **Step 3** contains the error.