Express
x3+5x2+3x+6(x−1)(x+4)\displaystyle \frac{x^3+5x^2+3x+6}{(x-1)(x+4)}(x−1)(x+4)x3+5x2+3x+6
in the form
Ax+B+Cx−1+Dx+4\displaystyle Ax+B+\frac{C}{x-1}+\frac{D}{x+4}Ax+B+x−1C+x+4D.