Identify the like terms,
`xy^2,-4yx^2,8x^2,7y,-11x^2,-100x,-11yx,20x^2y,6x^2,y,2xy,3x`

Answer

To identify the like terms from the given expression, we need to understand that like terms are terms that have the same variables raised to the same powers. Let's go through the provided terms step by step.

### Given Terms:
1. \( xy^2 \)
2. \( -4yx^2 \)
3. \( 8x^2 \)
4. \( 7y \)
5. \( -11x^2 \)
6. \( -100x \)
7. \( -11yx \)
8. \( 20x^2y \)
9. \( 6x^2 \)
10. \( y \)
11. \( 2xy \)
12. \( 3x \)

### Step-by-Step Solution:

1. **Identify the first term: \( xy^2 \)**
- This term has \( x^1 \) and \( y^2 \).
- No other term matches this.

2. **Next term: \( -4yx^2 \)**
- This can be rewritten as \( -4x^2y \).
- We will look for terms with \( x^2y \).

3. **Check \( 20x^2y \)**
- This term matches \( -4x^2y \) (same variables and powers).
- So, the like terms are \( -4yx^2 \) and \( 20x^2y \).

4. **Next term: \( 8x^2 \)**
- This term has \( x^2 \) and no \( y \).
- The like terms are \( 8x^2 \), \( -11x^2 \), and \( 6x^2 \).

5. **Next term: \( 7y \)**
- This term has \( y^1 \) and no \( x \).
- The like term is \( y \).

6. **Next term: \( -100x \)**
- This term has \( x^1 \) and no \( y \).
- The like term is \( 3x \).

7. **Next term: \( -11yx \)**
- This can be rewritten as \( -11xy \).
- The like term is \( 2xy \).

### Summary of Like Terms:
- For \( xy^2 \): No like terms.
- For \( -4yx^2 \): Like terms are \( -4yx^2 \) and \( 20x^2y \).
- For \( 8x^2 \): Like terms are \( 8x^2, -11x^2, 6x^2 \).
- For \( 7y \): Like term is \( y \).
- For \( -100x \): Like term is \( 3x \).
- For \( -11xy \): Like term is \( 2xy \).

### Final List of Like Terms:
1. \( -4yx^2 \) and \( 20x^2y \)
2. \( 8x^2, -11x^2, 6x^2 \)
3. \( 7y \) and \( y \)
4. \( -100x \) and \( 3x \)
5. \( -11xy \) and \( 2xy \)