1. ## partial fractions

Is there anyway to nontrivially decompose

$\frac{1}{(x-2)^2}$

into partial fractions?

Thanks.

2. $\frac{1}{(x-2)^2}=\frac{A}{(x-2)}+\frac{B}{(x-2)^2}$

3. I see no good reason to turn that into partial fractions. What's the main purpose?