Question

Simplify

1/2-3(1/2+1)^2

enter answer as a simplified fraction

Answer 1

Explanation:

`(1)/(2)-3((1)/(2)+1)^(2) = (1)/(2)-3((1)/(2)+(1*2)/(1*2) )^(2)`

`=(1)/(2)-3((1)/(2)+(2)/(2) )^(2)\\\\\\=(1)/(2)-3((3)/(2))^(2)\\\\\\=(1)/(2)-3*(9)/(4)\\\\\\=(1*2)/(2*2)-(27)/(4)\\\\\\=(2)/(4)-(27)/(4)\\\\\\=(2-27)/(4)\\\\=(-25)/(4)\\\\\\= -6(1)/(4)`