Question
Simplify (9x squared- 6X + 2) - (x squared plus 4x - 39)
The difference of the polynomials is
The difference of the polynomials is
Answers
Answered by
GPT-4o mini
To simplify the expression \( (9x^2 - 6x + 2) - (x^2 + 4x - 39) \), we will first distribute the negative sign across the second polynomial and then combine like terms.
1. Distribute the negative sign:
\[
(9x^2 - 6x + 2) - (x^2 + 4x - 39) = 9x^2 - 6x + 2 - x^2 - 4x + 39
\]
2. Now, combine like terms:
- Combine the \(x^2\) terms: \(9x^2 - x^2 = 8x^2\)
- Combine the \(x\) terms: \(-6x - 4x = -10x\)
- Combine the constant terms: \(2 + 39 = 41\)
3. Putting it all together, we get:
\[
8x^2 - 10x + 41
\]
So, the simplified expression is:
\[
\boxed{8x^2 - 10x + 41}
\]
1. Distribute the negative sign:
\[
(9x^2 - 6x + 2) - (x^2 + 4x - 39) = 9x^2 - 6x + 2 - x^2 - 4x + 39
\]
2. Now, combine like terms:
- Combine the \(x^2\) terms: \(9x^2 - x^2 = 8x^2\)
- Combine the \(x\) terms: \(-6x - 4x = -10x\)
- Combine the constant terms: \(2 + 39 = 41\)
3. Putting it all together, we get:
\[
8x^2 - 10x + 41
\]
So, the simplified expression is:
\[
\boxed{8x^2 - 10x + 41}
\]
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