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

Question

The difference of the polynomials is

Answer 1

To simplify \((9x^2 - 6x + 2) - (x^2 + 4x - 39)\), we need to distribute the negative sign 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: \[ (9x^2 - x^2) + (-6x - 4x) + (2 + 39) \] \[ = 8x^2 - 10x + 41 \]

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