(a+1/2 b)^2 - ab
To expand this expression, we can use the formula for the square of a binomial:
(a+1/2 b)^2 = a^2 + 2ab + (1/2 b)^2(a+1/2 b)^2 = a^2 + 2ab + 1/4 b^2
Now, we can substitute this back into the original expression:
(a^2 + 2ab + 1/4 b^2) - aba^2 + 2ab + 1/4 b^2 - aba^2 + ab + 1/4 b^2
Therefore, the simplified expression is a^2 + ab + 1/4 b^2.
(a+1/2 b)^2 - ab
To expand this expression, we can use the formula for the square of a binomial:
(a+1/2 b)^2 = a^2 + 2ab + (1/2 b)^2
(a+1/2 b)^2 = a^2 + 2ab + 1/4 b^2
Now, we can substitute this back into the original expression:
(a^2 + 2ab + 1/4 b^2) - ab
a^2 + 2ab + 1/4 b^2 - ab
a^2 + ab + 1/4 b^2
Therefore, the simplified expression is a^2 + ab + 1/4 b^2.