Answer:
D
Step-by-step explanation:
We simply simplify and add the like terms in the problem given:
[tex](x^2-6x^4+4x^3-2x)+(4x-5x^2+4x^3-6x^4)\\=x^2-6x^4+4x^3-2x+4x-5x^2+4x^3-6x^4\\=-12x^4+8x^3-4x^2+2x[/tex]
Here, we added the x^4 terms, the x^3 terms, the x^2 terms, and the x terms to arrive at our answer.
Looking at the choices, D matches ours, so D is the correct answer.