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Problem For constants A , B , C , D A,\,B,\,C,\,D A , B , C , D 3 x 2 + 2 x − 1 ( x − 1 ) 2 ( x 2 + 4 ) = A x − 1 + B ( x − 1 ) 2 + C x + D x 2 + 4 . \frac{3x^{2}+2x-1}{(x-1)^{2}(x^{2}+4)}=\frac{A}{x-1}+\frac{B}{(x-1)^{2}}+\frac{Cx+D}{x^{2}+4}. ( x − 1 ) 2 ( x 2 + 4 ) 3 x 2 + 2 x − 1 = x − 1 A + ( x − 1 ) 2 B + x 2 + 4 C x + D . ( C , D ) (C,D) ( C , D ) ( − 32 25 , 46 25 ) \left(-\dfrac{32}{25},\,\dfrac{46}{25}\right) ( − 25 32 , 25 46 ) ( − 32 25 , 23 25 ) \left(-\dfrac{32}{25},\,\dfrac{23}{25}\right) ( − 25 32 , 25 23 ) ( 32 25 , 23 25 ) \left(\dfrac{32}{25},\,\dfrac{23}{25}\right) ( 25 32 , 25 23 ) ( − 32 25 , − 23 25 ) \left(-\dfrac{32}{25},\,-\dfrac{23}{25}\right) ( − 25 32 , − 25 23 ) Browse the problem library