Decompose: 3x2+2x−1x(x2+1)\dfrac{3x^2 + 2x - 1}{x(x^2 + 1)}x(x2+1)3x2+2x−1.
−1x+4x+2x2+1\dfrac{-1}{x} + \dfrac{4x + 2}{x^2 + 1}x−1+x2+14x+2
1x+2x−1x2+1\dfrac{1}{x} + \dfrac{2x - 1}{x^2 + 1}x1+x2+12x−1
−1x+4x−2x2+1\dfrac{-1}{x} + \dfrac{4x - 2}{x^2 + 1}x−1+x2+14x−2
3x+x−1x2+1\dfrac{3}{x} + \dfrac{x - 1}{x^2 + 1}x3+x2+1x−1