\(x^3+x^2y-2x^2-xy-y^2+3y+x+2020\)
\(\rightarrow\left(x^3+x^2y-2x^2\right)-\left(xy+y^2-2y\right)+y+x+2020\)
\(\rightarrow x^2.\left(x+y-2\right)-y.\left(x+y-2\right)+\left(x+y-2\right)+2022\)
\(\rightarrow x^2.0-y.0+0+2022\)
\(\rightarrow2022\)
\(\text{Vậy}:\)\(x^3+x^2y-2x^2-xy-y^2+3y+x+2020=2022\)