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2 x 2 + 3 x ( x − 1 ) ( x 2 + 1 ) = A x + B x − 1 + C x + D x 2 + 1 . \frac{2x^{2}+3}{x(x-1)(x^{2}+1)}=\frac{A}{x}+\frac{B}{x-1}+\frac{Cx+D}{x^{2}+1}. x ( x − 1 ) ( x 2 + 1 ) 2 x 2 + 3 = x A + x − 1 B + x 2 + 1 C x + D .
Mathematics
Problem Let
2 x 2 + 3 x ( x − 1 ) ( x 2 + 1 ) = A x + B x − 1 + C x + D x 2 + 1 . \frac{2x^{2}+3}{x(x-1)(x^{2}+1)}=\frac{A}{x}+\frac{B}{x-1}+\frac{Cx+D}{x^{2}+1}. x ( x − 1 ) ( x 2 + 1 ) 2 x 2 + 3 = x A + x − 1 B + x 2 + 1 C x + D . A , B , C , D A,\,B,\,C,\,D A , B , C , D B + C + D = 0 B+C+D=0 B + C + D = 0 A + B + C = 0 A+B+C=0 A + B + C = 0 A + B + D = 0 A+B+D=0 A + B + D = 0 A + C + D = 0 A+C+D=0 A + C + D = 0 Browse the problem library