To simplify the expression \((7x^2 - 6x + 2) - (4x - 8) + (-6x^2 + 3x)\), follow these steps:

1. Distribute any subtraction across the terms:
   \[
   7x^2 - 6x + 2 - 4x + 8 + (-6x^2 + 3x)
   \]

2. Combine like terms:
   - Combine the \(x^2\) terms: \(7x^2 - 6x^2 = 1x^2\)
   - Combine the \(x\) terms: \(-6x - 4x + 3x = -7x\)
   - Combine the constant terms: \(2 + 8 = 10\)

3. The simplified expression is:
   \[
   x^2 - 7x + 10
   \]

Would you like to know more details about any step or have any questions?

Here are 5 related questions to explore:
1. How do you factor the expression \(x^2 - 7x + 10\)?
2. What are the roots of the quadratic equation \(x^2 - 7x + 10 = 0\)?
3. How does combining like terms work in polynomial expressions?
4. Can you explain the process of distributing a negative sign across an expression?
5. How do you expand and simplify polynomial expressions?

**Tip:** Always keep track of your signs when simplifying expressions to avoid mistakes.

Learn how to simplify the expression (7x^2 - 6x + 2) - (4x - 8) + (-6x^2 + 3x) step-by-step with detailed explanations of polynomial expressions, combining like terms, and the distributive property. Suitable for students in Grades 7-9.

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