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?
+170 
