$(2x^4-3x^3-3x^2-2+6x):(x^2-2)_{}$
$=2x^4-3x^3-3x^2+6x-2_{}:(x^2-2)$
$=2x^4-2x^3-x^3+x^2-4x^2+4x+2x-2:(x^2-2)_{}$
$=2x^3.(x-1)-x^2.(x-1)-4x.(x-1)+2.(x-1)_{}$ $:_{}$ $(x^2-2)_{}$
$=(x-1)(2x^3-x^2-4x+2):(x^2-2)_{}$
$=(x-1).[ x^2.(2x-1)-2.(2x-1)]:(x^2-2)_{}$
$=(x-1)(2x-1)(x^2-2):(x^2-2)_{}$
$=(x-1)(2x-1)_{}$
$=2x^2-x-2x+1_{}$
$=2x^2-3x+1_{}$
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