Theory of Intelligence
11TH•Mathematics•Partial Fractions•Exercise 5.1

Case: $(x-a)^2$

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Case: (x−a)2(x-a)^2

If the denominator has a repeated linear factor:

P(x)(x−a)2=Ax−a+B(x−a)2\frac{P(x)}{(x-a)^2}=\frac{A}{x-a}+\frac{B}{(x-a)^2}

and similarly for higher powers.

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