Preform the operation (10x^2 + 4) + (-9x-6)

To perform the operation \((10x^2 + 4) + (-9x - 6)\), we will combine like terms:

1. Combine the \(x^2\) terms:
   \[10x^2\] (no other \(x^2\) term to combine with)

2. Combine the \(x\) terms:
   \[0x + (-9x) = -9x\]

3. Combine the constant terms:
   \[4 + (-6) = -2\]

Thus, the result is:
\[
10x^2 - 9x - 2
\]

Would you like more details on how I combined these terms or have any further questions?

Here are 5 questions related to this:

1. What happens if you perform a similar operation with different powers of \(x\)?
2. How do we handle the addition of polynomials with different degrees?
3. Can you factor the expression \(10x^2 - 9x - 2\)?
4. How do we combine like terms in more complex polynomial expressions?
5. What is the significance of the degree of a polynomial?

**Tip:** Always ensure that you combine like terms by matching variables and their exponents!

Perform the operation (10x^2 + 4) + (-9x - 6)

Learn how to perform the operation (10x^2 + 4) + (-9x - 6) by combining like terms in this detailed algebra tutorial. Perfect for students in Grades 8-10, this problem covers polynomial addition, identifying like terms, and simplifying algebraic expressions.

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