Subtract $$ 6 x^{2}-7 x-2 $$ from $$ 6 x^{2}-2 x+6 $$

Question

UpStudy AI · Accepted Answer

To subtract $$6x^{2} - 7x - 2$$ from $$6x^{2} - 2x + 6$$, follow these steps:

**Step 1:** Write down the subtraction expression.

$$
(6x^{2} - 2x + 6) - (6x^{2} - 7x - 2)
$$

**Step 2:** Distribute the negative sign to each term inside the second parentheses.

$$
6x^{2} - 2x + 6 - 6x^{2} + 7x + 2
$$

**Step 3:** Combine like terms.

- **$$x^{2}$$ terms:**
  $$
  6x^{2} - 6x^{2} = 0
  $$
  
- **$$x$$ terms:**
  $$
  -2x + 7x = 5x
  $$
  
- **Constant terms:**
  $$
  6 + 2 = 8
  $$

**Step 4:** Write the final simplified expression.

$$
5x + 8
$$

**Answer:** 
$$
5x + 8
$$
The result of subtracting $$6x^{2} - 7x - 2$$ from $$6x^{2} - 2x + 6$$ is $$5x + 8$$.

Subtract \( 6 x^{2}-7 x-2 \) from \( 6 x^{2}-2 x+6 \)