## Simplifying the Expression: (x^2 + 6x - 10) - (-8x^2 - 3x)

This expression involves subtracting one polynomial from another. To simplify it, we will use the distributive property and then combine like terms.

**Step 1: Distribute the negative sign**

Since we are subtracting the second polynomial, we need to distribute the negative sign to each term inside the parentheses:

(x^2 + 6x - 10) **+** (8x^2 + 3x)

**Step 2: Combine like terms**

Now we can combine the terms with the same variable and exponent:

**x^2 terms:**x^2 + 8x^2 = 9x^2**x terms:**6x + 3x = 9x**Constant term:**-10

**Step 3: Write the simplified expression**

Putting it all together, the simplified expression is:

**9x^2 + 9x - 10**

Therefore, the simplified form of (x^2 + 6x - 10) - (-8x^2 - 3x) is **9x^2 + 9x - 10**.