(1/2 + 1/3)^2 = (3/6 + 2/6)^2 = (5/6)^2 = 25/36
(1/2)^2 + (1/3)^2 = 1/4 + 1/9 = 9/36 + 4/36 = 13/36
(1/2) + 2 1/2 1/3 + (1/3)^2 = 1/2 + 1/3 + 1/6 + 1/9 = 3/6 + 2/6 + 1/6 + 2/18 = 6/6 = 1
(1/2 + 1/3)^2 = (3/6 + 2/6)^2 = (5/6)^2 = 25/36
(1/2)^2 + (1/3)^2 = 1/4 + 1/9 = 9/36 + 4/36 = 13/36
(1/2) + 2 1/2 1/3 + (1/3)^2 = 1/2 + 1/3 + 1/6 + 1/9 = 3/6 + 2/6 + 1/6 + 2/18 = 6/6 = 1