Question
Real Tutor Solution
Tutor-Verified Answer
Answer
The simplified expression is \( 6xy + 4x + y + 6 \).
Solution
To fully simplify the expression \( 4xy + 3x + 6 + 2yx + x + y \), follow these steps:
1. **Combine Like Terms:**
- **Terms involving \( xy \):**
\[
4xy + 2yx = 4xy + 2xy = 6xy
\]
- **Terms involving \( x \):**
\[
3x + x = 4x
\]
- **Constant and \( y \) terms:**
\[
6 + y
\]
2. **Rewrite the Simplified Expression:**
\[
6xy + 4x + y + 6
\]
There are no further like terms to combine, and the expression cannot be factored further with integer coefficients.
**Final Simplified Form:**
\[
6xy + 4x + y + 6
\]
**Answer:**
After simplifying, the expression is 6 x y + 4 x + y + 6.
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Simplify this solution Beyond the Answer
To simplify the expression \( 4xy + 3x + 6 + 2yx + x + y \), we start by combining like terms. 1. Notice that \( 2yx \) is the same as \( 2xy \). 2. Therefore, we can rewrite the expression as \( 4xy + 2xy + 3x + x + 6 + y \). 3. Now combine the \( xy \) terms: \( 4xy + 2xy = 6xy \). 4. Next, combine the \( x \) terms: \( 3x + x = 4x \). 5. The \( 6 \) and \( y \) remain as they are. Putting it all together, we have: \[ 6xy + 4x + y + 6 \] Thus, the fully simplified expression is: \[ 6xy + 4x + y + 6 \]
