Express P(x)(x−a)n\frac{P(x)}{(x-a)^n}(x−a)nP(x) as A1x−a+A2(x−a)2+⋯\frac{A_1}{x-a} + \frac{A_2}{(x-a)^2} + \cdotsx−aA1+(x−a)2A2+⋯.