https://file.aiquickdraw.com/mathbot/file/1726840649415uy1udgqh.jpg

The operation given in the image is:

\[
(-6x^2 + x - 6) - (4x^2 - 6x - 4)
\]

Let's perform the subtraction by distributing the negative sign and then combining like terms:

1. Distribute the negative sign across the second set of parentheses:

\[
-6x^2 + x - 6 - 4x^2 + 6x + 4
\]

2. Now, combine like terms:
   - Combine the \(x^2\) terms: \(-6x^2 - 4x^2 = -10x^2\)
   - Combine the \(x\) terms: \(x + 6x = 7x\)
   - Combine the constant terms: \(-6 + 4 = -2\)

Thus, the result of the operation is:

\[
-10x^2 + 7x - 2
\]

Would you like more details on any part of this solution?

Here are five related questions you can try:
1. What is the result of \( (3x^2 - 5x + 1) - (2x^2 + 4x - 7) \)?
2. How do you simplify \( (-5x^2 + 4x - 8) - (-3x^2 + 2x + 6) \)?
3. What happens when you add two polynomials instead of subtracting them?
4. Can you describe how to handle subtraction of terms when dealing with polynomials?
5. How does distributing a negative sign affect each term in a polynomial?

**Tip:** When subtracting polynomials, always distribute the negative sign carefully before combining like terms to avoid mistakes.

Perform the operation: (-6x^2 + x - 6) - (4x^2 - 6x - 4)

Learn how to subtract polynomials by distributing the negative sign and combining like terms in this example: (-6x^2 + x - 6) - (4x^2 - 6x - 4). Perfect for students in Grades 8-10, this problem covers essential algebraic operations.

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