recognize mistakes in

Question

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

Answer 1

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: \[ 4x + 22 + 6xy \]