3:
a+b+c=0
=>a+b=-c và b+c=-a và a+c=-b
\(A=\dfrac{ab}{\left(a+b\right)^2-2ab-c^2}+\dfrac{bc}{\left(b+c\right)^2-2bc-a^2}+\dfrac{ac}{\left(c+a\right)^2-2ac-b^2}\)
\(=\dfrac{ab}{c^2-c^2-2ab}+\dfrac{bc}{a^2-a^2-2bc}+\dfrac{ac}{b^2-b^2-2ac}\)
=-1/2-1/2-1/2=-3/2