Question

Subtract these polynomials.
(3x^2 + 3x+3)-(x^2 + 2x + 3) =

Answer 1

To subtract the polynomials \( (3x^2 + 3x + 3) - (x^2 + 2x + 3) \), we will distribute the negative sign across the second polynomial and then combine like terms.

1. First, rewrite the expression:
\[
3x^2 + 3x + 3 - (x^2 + 2x + 3)
\]

2. Distribute the negative sign:
\[
3x^2 + 3x + 3 - x^2 - 2x - 3
\]

3. Now, combine like terms:
- For \(x^2\) terms: \(3x^2 - x^2 = 2x^2\)
- For \(x\) terms: \(3x - 2x = 1x\) or simply \(x\)
- For the constant terms: \(3 - 3 = 0\)

Putting it all together, we have:
\[
2x^2 + x
\]

Therefore, the result of the subtraction is:
\[
\boxed{2x^2 + x}
\]