(a^2-2ab+2b^2)-(2a-3)=a^2-2ab+2b^2-2a+3=2(1/4a^2-ab+b^2)+1/2(a^2-4a+4)
+1=2(1/2a-b)^2+1/2(a-2)^2+1>0
∴a^2-2ab+2b^2>(2a-3)