Subtract x, squared, plus, 6, x, minus, 10*x*2+6*x*−10 from minus, 8, x, squared, minus, 3, x−8*x*2−3*x*.

Let's clarify and solve the problem step by step:

We are asked to subtract one expression from another. The two expressions are:

1. **First expression (to subtract from):**
   \(-8x^2 - 3x\)

2. **Second expression (to be subtracted):**
   \(x^2 + 6x - 10\)

### Step-by-step solution:

We are subtracting the second expression from the first, which is represented as:

\[
(-8x^2 - 3x) - (x^2 + 6x - 10)
\]

Now, distribute the negative sign across the second expression:

\[
-8x^2 - 3x - x^2 - 6x + 10
\]

### Combine like terms:

- Combine \(x^2\) terms: \(-8x^2 - x^2 = -9x^2\)
- Combine \(x\) terms: \(-3x - 6x = -9x\)
- The constant term is \(+10\)

Thus, the simplified expression is:

\[
-9x^2 - 9x + 10
\]

### Final Answer:
\[
-9x^2 - 9x + 10
\]

Would you like further clarification on this process or more detailed steps?

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Here are 5 related questions:
1. What are like terms in an algebraic expression?
2. How do you distribute negative signs across expressions?
3. What is the difference between coefficients and constants in algebra?
4. How can factoring help simplify expressions?
5. What are common mistakes to avoid when combining like terms?

**Tip:** Always pay attention to the sign of each term when subtracting expressions; this is a common source of errors in algebra.

Learn how to subtract polynomials, specifically x^2 + 6x - 10 from -8x^2 - 3x, with this step-by-step solution. This problem covers key algebraic concepts like combining like terms and using the distributive property of subtraction. Suitable for students in Grades 8-10.

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