(a^-0.5 + 0.5a^0.75)^2
= (1/a^0.5 + 0.5a^0.75)^2
= (1/sqrt(a) + 0.5a^(3/4))^2
= (1/sqrt(a) + 0.5*sqrt(a))^2
= (1/sqrt(a) + 0.5sqrt(a))(1/sqrt(a) + 0.5*sqrt(a))
= (1/sqrt(a))^2 + (1/sqrt(a))(0.5sqrt(a)) + (0.5sqrt(a))(1/sqrt(a)) + (0.5*sqrt(a))^2
= 1/a + 0.5 + 0.5 + 0.25a
= 1/a + 1 + 0.25a
(a^-0.5 + 0.5a^0.75)^2
= (1/a^0.5 + 0.5a^0.75)^2
= (1/sqrt(a) + 0.5a^(3/4))^2
= (1/sqrt(a) + 0.5*sqrt(a))^2
= (1/sqrt(a) + 0.5sqrt(a))(1/sqrt(a) + 0.5*sqrt(a))
= (1/sqrt(a))^2 + (1/sqrt(a))(0.5sqrt(a)) + (0.5sqrt(a))(1/sqrt(a)) + (0.5*sqrt(a))^2
= 1/a + 0.5 + 0.5 + 0.25a
= 1/a + 1 + 0.25a