When AB is what value, the polynomial a ^ 2 + 5B ^ 2-2ab-4b + 4 has the minimum value? And find out the minimum value

When AB is what value, the polynomial a ^ 2 + 5B ^ 2-2ab-4b + 4 has the minimum value? And find out the minimum value

a^2+5b^2-2ab-4b+4
=(a-b)^2+4b^2-4b+4
=(a-b)^2+4(b-1/2)^2+3
When a = b = 1 / 2, remove the minimum value 3