Question

Question
Simplify (9x2−6x+2)−(x2+4x−39)
.(1 point)
The difference of the polynomials is ______

Answer 1

To simplify the expression \((9x^2 - 6x + 2) - (x^2 + 4x - 39)\), we start by distributing the negative sign in front of the second polynomial.

1. Rewrite the expression:
\[
9x^2 - 6x + 2 - (x^2 + 4x - 39)
\]

2. Distribute the negative sign:
\[
9x^2 - 6x + 2 - x^2 - 4x + 39
\]

3. Combine like terms:
- For the \(x^2\) terms: \(9x^2 - x^2 = 8x^2\)
- For the \(x\) terms: \(-6x - 4x = -10x\)
- For the constant terms: \(2 + 39 = 41\)

Putting it all together:
\[
8x^2 - 10x + 41
\]

Thus, the simplified form of the expression is:
\[
\mathbf{8x^2 - 10x + 41}
\]