Find the minimum value of \(2x^2 + 2xy + y^2 - 2x + 2y + 4\) over all real numbers \(x\) and \(y\)

The goal here...is to write the expression as a sum of squares plus a number.

Try this, and see what you get.

(x,y)=(2,-3)

Plug the values into the expression, and get -1?