X ∈ (0,1 / 4), then the maximum value of the square (1-4x) of y = x is-----

X ∈ (0,1 / 4), then the maximum value of the square (1-4x) of y = x is-----

When x = 1 / 6, the maximum value is 1 / 108
Y = x * x * (1-4x) = 1 / 4 * 2x * 2x * (1-4x) less than or equal to 1 / 4 * ((2x + 2x + 1-4x) / 3) ^ 3 = 1 / 108