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Suppose 3/((x-1)(x^(2)+x+1))=f(1)(x)-f...

Suppose
`3/((x-1)(x^(2)+x+1))=f_(1)(x)-f_(2)(x)`
where `f_(1)(x)=1/(x-1)` and `f_(2)(x)=(x+2)/(x^(2)+x+1)`
If `(x+1)/((x-1)^(2)(x^(2)+x+1))=af_(1)(x)+(b+c/(x-1))f_(2)(x)+d/((x-1)^(2))`
then `|(a,b),(c,d)|+9|a+ib|^(2)=`____________

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