The expression can be simplified as:
-1/8a^2 + 1/4ab - 1/8b^2
Which can be further simplified as:
= -2a^2/16 + 4ab/16 - 2b^2/16
= (-2a^2 + 4ab - 2b^2)/16
= (-2(a^2 - 2ab + b^2))/16
= (-2(a-b)^2)/16
= - (a-b)^2/8
So, the simplified expression is -(a-b)^2/8.
The expression can be simplified as:
-1/8a^2 + 1/4ab - 1/8b^2
Which can be further simplified as:
-1/8a^2 + 1/4ab - 1/8b^2
= -2a^2/16 + 4ab/16 - 2b^2/16
= (-2a^2 + 4ab - 2b^2)/16
= (-2(a^2 - 2ab + b^2))/16
= (-2(a-b)^2)/16
= - (a-b)^2/8
So, the simplified expression is -(a-b)^2/8.