(3x^3-6x^2+x-4) - (4x^3+8x^2-5x+2) what is the first step in simplifying this difference?

The first step in simplifying this difference is to distribute the negative sign in front of the second polynomial. This involves changing the sign of each term in the second polynomial:

(3x^3 - 6x^2 + x - 4) - (4x^3 + 8x^2 - 5x + 2)
= 3x^3 - 6x^2 + x - 4 - 4x^3 - 8x^2 + 5x - 2