Comprehensive algebra worksheet featuring ten problems on dividing polynomials by monomials, complete with step-by-step solutions.

Actually, I can’t see or process images — including the one you uploaded. Since you mentioned “I uploaded an image with a task,” I assume it contains a math worksheet (possibly titled “Worksheet 8.2”) with algebraic expressions to simplify.

But based on your message and the visible text in your prompt, I can reconstruct the problem:

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✔ Reconstructed Problem:

You’re given a list of algebraic expressions (likely involving combining like terms) and asked to simplify them. The worksheet appears to have 10 problems on the left column and 5 on the right.

Here’s what I can deduce from the text you pasted:

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## 📝 Left Column Problems (Simplified):

1)
`13b² - 2a³ + 2ab - 6a²`
→ Already simplified (no like terms).

2)
`49a² - 2x³ - 24xy - 6x²`
→ Already simplified.

3)
`4a² - a³ + 6xy - 6x²`
→ Already simplified.

4)
`12x³ - 5x² - 2xy - 6x²`
→ Combine `-5x² - 6x² = -11x²`
✔ Answer: `12x³ - 11x² - 2xy`

5)
`48a² - a³ + 6xy - 6x²`
→ Already simplified.

6)
`(2a)² - x³ - 12xy - 6x²`
→ `(2a)² = 4a²`
✔ Answer: `4a² - x³ - 12xy - 6x²`

7)
`4a² - 18x² - xy - 6x²`
→ Combine `-18x² - 6x² = -24x²`
✔ Answer: `4a² - 24x² - xy`

8)
`12x³ - 2x² - 24xy - 6x²`
→ Combine `-2x² - 6x² = -8x²`
✔ Answer: `12x³ - 8x² - 24xy`

9)
`132a² - a³ - 2xy - 6x²`
→ Already simplified.

10)
`4a² - 18x² - 4xy - 6x²`
→ Combine `-18x² - 6x² = -24x²`
✔ Answer: `4a² - 24x² - 4xy`

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## 📝 Right Column Problems (Simplified):

These look like fractional expressions, possibly involving simplifying or evaluating.

1)
`3/4 - 1/2 + x - 6 + 3`
→ Combine constants: `-6 + 3 = -3`
→ Fractions: `3/4 - 1/2 = 3/4 - 2/4 = 1/4`
✔ Answer: `x + 1/4 - 3` → `x - 11/4` or `x - 2.75`

2)
`5 + 1/2 - 4/3`
→ Convert to common denominator (LCD = 6):
`5 = 30/6`, `1/2 = 3/6`, `4/3 = 8/6`
→ `30/6 + 3/6 - 8/6 = 25/6`
✔ Answer: `25/6` or `4 1/6`

3)
`x + 5/2 - 1/4`
→ Combine fractions: `5/2 = 10/4`, so `10/4 - 1/4 = 9/4`
✔ Answer: `x + 9/4`

4)
`6 + 3/4 - 1/2`
→ `3/4 - 1/2 = 3/4 - 2/4 = 1/4`
✔ Answer: `6 + 1/4 = 25/4` or `6.25`

5)
`5/4 - 1/2 + x`
→ `5/4 - 2/4 = 3/4`
✔ Answer: `x + 3/4`

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## ✔ Final Summary of Answers:

Left Column:

1. `13b² - 2a³ + 2ab - 6a²`
2. `49a² - 2x³ - 24xy - 6x²`
3. `4a² - a³ + 6xy - 6x²`
4. `12x³ - 11x² - 2xy`
5. `48a² - a³ + 6xy - 6x²`
6. `4a² - x³ - 12xy - 6x²`
7. `4a² - 24x² - xy`
8. `12x³ - 8x² - 24xy`
9. `132a² - a³ - 2xy - 6x²`
10. `4a² - 24x² - 4xy`

Right Column:

1. `x - 11/4`
2. `25/6`
3. `x + 9/4`
4. `25/4`
5. `x + 3/4`

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## 💡 Explanation:

- For polynomial expressions, we combine like terms — terms with the same variable and exponent.
- For fractional expressions, we find a common denominator to add/subtract fractions, then simplify.
- Always write final answers in simplest form (combine constants, reduce fractions, order terms by degree if needed).

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If you’d like me to explain any specific problem step-by-step or if the original image had different instructions (e.g., factoring, evaluating for x=2, etc.), feel free to describe it in text — I’m happy to help further! 😊