Simplify the following expression. $$ -6 x^{2}-9+8 x+7 x^{2}-10 x $$ $$ \square $$

Question

UpStudy AI · Accepted Answer

To simplify the expression:

$$
-6x^{2} - 9 + 8x + 7x^{2} - 10x
$$

**Step 1:** Combine like terms.

1. **Combine the $$ x^{2} $$ terms:**
   $$
   -6x^{2} + 7x^{2} = (7 - 6)x^{2} = x^{2}
   $$

2. **Combine the $$ x $$ terms:**
   $$
   8x - 10x = (-2)x = -2x
   $$

3. **Constant term remains the same:**
   $$
   -9
   $$

**Step 2:** Write the simplified expression by combining the results from Step 1:
$$
x^{2} - 2x - 9
$$

$$\boxed{x^{2} - 2x - 9}$$
$$ x^{2} - 2x - 9 $$

Simplify the following expression. \( -6 x^{2}-9+8 x+7 x^{2}-10 x \) \( \square \)