Question

How do you evaluate `2(y-\frac{3}{2})^{2}+\frac{27}{2}`?

Answer 1

`2y^2-6y-18`

Explanation:

Since `(a-b)^2=a^2-2ab+b^2`, you get

`2(y^2-3y+9/4)+27/2` (multiply)

that's

`2y^2-6y+9/2+27/2` (sum the like terms)

`2y^2-6y-18`