Question

Simplify (9x2−6x+2)−(x2+4x−39)
.(1 point)
The difference of the polynomials is
.
Remaining Attempts : 3

Answer 1

To simplify the expression \( (9x^2 - 6x + 2) - (x^2 + 4x - 39) \), we need to distribute the negative sign across the second polynomial and then combine like terms. Here’s the step-by-step solution:

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:
\[
2 + 39 = 41
\]

4. Putting it all together, we get:
\[
8x^2 - 10x + 41
\]

So, the simplified expression is:
\[
\boxed{8x^2 - 10x + 41}
\]