(6x^3+x^2-x)+(3x^2+3x+1)

To add these two polynomials, we simply combine the like terms:

(6x^3 + x^2 - x) + (3x^2 + 3x + 1) = 6x^3 + (x^2 + 3x^2) + (-x + 3x) + 1

Simplifying further:

6x^3 + 4x^2 + 2x + 1