Which of these is the correct partial fraction decomposition form for x+1x2(x−2)\frac{x+1}{x^2(x-2)}x2(x−2)x+1?
Ax2+Bx−2\frac{A}{x^2} + \frac{B}{x-2}x2A+x−2B
Ax+Bx2+Cx−2\frac{A}{x} + \frac{B}{x^2} + \frac{C}{x-2}xA+x2B+x−2C
Ax+Bx2+Cx−2\frac{Ax+B}{x^2} + \frac{C}{x-2}x2Ax+B+x−2C
Ax+Bx+Cx−2\frac{A}{x} + \frac{Bx+C}{x-2}xA+x−2Bx+C