Which example correctly demonstrates polynomial subtraction?(1 point) Responses (2x2+6x+1)−(3x2+3x+9)=5x2+9x+10 left parenthesis 2 x squared plus 6 x plus 1 right parenthesis minus left parenthesis 3 .

Let's break down the polynomial subtraction step by step for the expression \((2x^2 + 6x + 1) - (3x^2 + 3x + 9)\).

1. **Write down the polynomials**:
- First polynomial: \(2x^2 + 6x + 1\)
- Second polynomial: \(3x^2 + 3x + 9\)

2. **Distribute the negative sign across the second polynomial**:
\[
(2x^2 + 6x + 1) - (3x^2 + 3x + 9) = 2x^2 + 6x + 1 - 3x^2 - 3x - 9
\]

3. **Combine like terms**:
- For \(x^2\) terms: \(2x^2 - 3x^2 = -1x^2\)
- For \(x\) terms: \(6x - 3x = 3x\)
- For constant terms: \(1 - 9 = -8\)

4. **Write down the result**:
\[
-1x^2 + 3x - 8
\]

So the correct expression for the polynomial subtraction is:
\[
(2x^2 + 6x + 1) - (3x^2 + 3x + 9) = -x^2 + 3x - 8
\]

The expression provided in your question, \(5x^2 + 9x + 10\), is incorrect. The correct result from the subtraction is \(-x^2 + 3x - 8\).