What should be subtracted from `-7x^(3)+2x^(2)+8`to obtain `-4x^(2)+9x-6`

What should be subtracted from (7x)/(x^(2)+x-12) to get (4)/(x+4)?

What must be subtracted from x^(2)-2x^(3)+5x+7 to obtain 3x^(2)+8+2x^(3)-5x

What should be subtracted from x^2-x y+y^2-x+y+3 to obtain x^2+y^2-4x y+1?

What should be subtracted from x^2-x y+y^2-x+y+3 to obtain x^2+y^2-4x y+1?

The expression that should be subtracted from 4x^(4)-2x^(3)-6x^(2)+x-5 so that it may be exactly divisible by 2x^(2)+x-2 is

What should be subtracted from 3x^(3)-8x^(2)+4x - 3, so that the resulting expression has (x+2) as a factor

What should be subtracted from 2x^(2)-3x+14 , that the difference is 5x^(2)+7x-5 ?

What should be subtracted from x^(3) - 7x^(2) + 17x + 17 so that the difference is a multiple of x-3 ?