maximize 2(a^2(3-2a))^4+3(a^2(3-2a))(-3a^2+6a)^2-4(a^2(3-2a))^2+a^2(3-2a)(14-3a^2+6a)(2-(-3a^2+6a))+2(9 - 3(-3a^2+6a))^(3/2)*(((-3a^2+6a)^2/27)+(14-3a^2+6a)^2/27^2)^(1/2)*a^2(3-2a) on [0,3/2]