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It looks like you've uploaded a document containing various exercises involving **scientific notation** and **polynomial operations**, such as addition and subtraction. Here is the list of exercises from the section on **addition and subtraction of polynomials**:

1. \((x^3 + 7x^2 + 8x + 1) + (3x^3 + 12x^2 + 5x + 11)\)
2. \((4w^3 + 22w^2 - 13w - 20) + (12w^3 + 19w + 12)\)
3. \((y^4 + 13y^2 + 8x + 1) + (14x^3 - 15x^2 + 6)\)
4. \((45m^3 - 23m^2 + 16m + 39) + (35m^3 - 18m^2 + 25m)\)
5. \((p^5 + 16p^3 + 29p + 21) + (-26p^4 + 14p^2 - 40p - 50)\)
6. \(-10y + 11y - 2y\)
7. \(\frac{2}{3}xy - \frac{5}{3}xy + xy\)
8. \(-83x + 21y - 28z + 6y + 82x - 25y + x\)
9. \((2x^3 - 3x^2 + 5x - 1) - (x^2 + 1 - 3x)\)
10. \((7x^4 - 5x^5 + 4x^2 - 7) + (x^3 - 3x^2 - 5 + x) - (-3x^4 + 5 - 8x + 2x^3)\)
11. (missing exercise)
12. \((-5z + 2y) - (2z - 5y - 7x - 1) + (-3z - 4y - 9x) - (-4y + 8x - 5)\)

Would you like to solve a specific exercise, or should I explain the general steps for solving these problems?

Here are 5 related questions to expand on this:

1. How do you add and subtract polynomials step by step?
2. Can polynomials have different variable powers when adding or subtracting?
3. How do you handle subtraction when variables are missing in one of the polynomials?
4. What happens when coefficients of variables cancel out during addition?
5. How do you combine like terms in polynomials?

**Tip:** Always align like terms (those with the same variable and exponent) when adding or subtracting polynomials to avoid errors.

It looks like you've uploaded a document containing various exercises involving scientific notation and polynomial operations, such as addition and subtraction. Would you like to solve a specific exercise, or should I explain the general steps for solving these problems?

Explore exercises on polynomial addition and subtraction, including examples with variables of different powers. Learn step-by-step methods to combine like terms and handle polynomial operations, suitable for students in Grades 8-10.

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