Question

recognize mistakes in

The expression is:

3x+3x−2x+22+6xy3x + 3x - 2x + 22 + 6xy3x+3x−2x+22+6xy

Identify the like terms:

The x terms are: 3x3x3x, 3x3x3x, and −2x-2x−2x
The constant term is 222222
The term 6xy6xy6xy has no like terms.
Combine the x terms:

3x+3x−2x=4x3x + 3x - 2x = 4x3x+3x−2x=4x

So, after combining the like terms, we are left with:

4x+22+6xy4x + 22 + 6xy4x+22+6xy

Final Answer:

4x+22+6xy4x + 22 + 6xy4x+22+6xy

Answers

Answered by GPT-4o mini
Let's break down the given expression and then identify the mistakes in the calculations and reasoning.

1. **Original Expression:**
The original expression given is:
\[
3x + 3x - 2x + 22 + 6xy
\]

2. **Identifying Like Terms:**
- The x terms: \(3x\), \(3x\), and \(-2x\) are indeed like terms.
- The constant term is \(22\) (not \(222222\)).
- The term \(6xy\) has no like terms, which is correct.

3. **Combining the x Terms:**
Let's correctly combine the x terms:
\[
3x + 3x - 2x = (3 + 3 - 2)x = 4x
\]
This part was done correctly.

4. **Writing the Resulting Expression:**
After combining like terms, the resulting expression should be:
\[
4x + 22 + 6xy
\]
This part was also done correctly, but there was a formatting issue where the expression was repeated incorrectly.

5. **Final Answer:**
The final answer should be:
\[
4x + 22 + 6xy
\]
The mistakes noted are:
- The constant term was incorrectly identified as \(222222\) instead of \(22\).
- The expression formatting was repeated multiple times unnecessarily, leading to confusion.

### Summary of Final Correct Expression:
The correct expression after combining like terms is:
\[
4x + 22 + 6xy
\]
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