Question
(2x squared+ 6x + 1)-(3x squared + 3x + 9)
Answers
GPT-4o mini
To simplify the expression \((2x^2 + 6x + 1) - (3x^2 + 3x + 9)\), you need to distribute the negative sign in front of the second polynomial and then combine like terms.
Here’s how to do it step by step:
1. Rewrite the expression:
\[
2x^2 + 6x + 1 - (3x^2 + 3x + 9)
\]
2. Distribute the negative sign:
\[
2x^2 + 6x + 1 - 3x^2 - 3x - 9
\]
3. Combine like terms:
- For \(x^2\) terms: \(2x^2 - 3x^2 = -1x^2\) or \(-x^2\)
- For \(x\) terms: \(6x - 3x = 3x\)
- For constant terms: \(1 - 9 = -8\)
Putting it all together, you get:
\[
-x^2 + 3x - 8
\]
So, the simplified expression is:
\[
-x^2 + 3x - 8
\]
Here’s how to do it step by step:
1. Rewrite the expression:
\[
2x^2 + 6x + 1 - (3x^2 + 3x + 9)
\]
2. Distribute the negative sign:
\[
2x^2 + 6x + 1 - 3x^2 - 3x - 9
\]
3. Combine like terms:
- For \(x^2\) terms: \(2x^2 - 3x^2 = -1x^2\) or \(-x^2\)
- For \(x\) terms: \(6x - 3x = 3x\)
- For constant terms: \(1 - 9 = -8\)
Putting it all together, you get:
\[
-x^2 + 3x - 8
\]
So, the simplified expression is:
\[
-x^2 + 3x - 8
\]