Câu 16:
\(2x^2+y^2+2=2xy+2y\)
=>\(4x^2+2y^2+4-4xy-4y=0\)
=>\(4x^2-4xy+y^2+y^2-4y+4=0\)
=>\(\left(2x-y\right)^2+\left(y-2\right)^2=0\)
=>\(\left\{{}\begin{matrix}2x-y=0\\y-2=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}y=2\\x=1\end{matrix}\right.\)
\(x^{2020}-2021xy+2022\)
\(=1^{2020}-2021\cdot1\cdot2+2022\)
=2023-4042
=-2019