Question 85318
Change the signs of the second polynomial since it's subtracted:

-v^4 + v^2 + v + 1

Combine the like terms:

-v^4 - v^3 + v^3 - v^2 + v^2 - 3v^2 + v - 1 + 1 + 6 =

-v^4 - 3v^2 + v + 6  [the -v^3 and v^3 cancel each other, as do the -v^2 and v^2 and the -1 and 1]