Question

Simplify (9x ^ 2 - 6x + 2) - (x ^ 2 + 4x - 39) (1 point)

Answer 1

To simplify the expression \((9x^2 - 6x + 2) - (x^2 + 4x - 39)\), we can follow these steps:

1. Distribute the negative sign across the terms in the second parentheses:
\[
(9x^2 - 6x + 2) - x^2 - 4x + 39
\]

2. Combine like terms:
- Combine \(9x^2\) and \(-x^2\):
\[
9x^2 - x^2 = 8x^2
\]
- Combine \(-6x\) and \(-4x\):
\[
-6x - 4x = -10x
\]
- Combine the constants \(2\) and \(39\):
\[
2 + 39 = 41
\]

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

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