Question
Simplify (9x2−6x+2)−(x2+4x−39) .(1 point) The difference of the polynomials is
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GPT-4o mini
To simplify the expression \((9x^2 - 6x + 2) - (x^2 + 4x - 39)\), you need to distribute the negative sign in front of 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. Combine like terms:
- For \(x^2\) terms: \(9x^2 - x^2 = 8x^2\)
- For \(x\) terms: \(-6x - 4x = -10x\)
- For constant terms: \(2 + 39 = 41\)
So, the simplified expression is:
\[
8x^2 - 10x + 41
\]
Therefore, the difference of the polynomials 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. Combine like terms:
- For \(x^2\) terms: \(9x^2 - x^2 = 8x^2\)
- For \(x\) terms: \(-6x - 4x = -10x\)
- For constant terms: \(2 + 39 = 41\)
So, the simplified expression is:
\[
8x^2 - 10x + 41
\]
Therefore, the difference of the polynomials is:
\(\boxed{8x^2 - 10x + 41}\)
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