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Can someone run me through using Heaviside cover-up for this decomposition: $$ \frac{2}{(x-2)(x+3)(x+1)^3} $$

I have calculated the decomposition traditionally but can't get consistent answers using Heaviside. Any help appreciated :)

edit: I calculated the answers traditionally to be: $$ \frac{-7}{108(x+1)}+\frac{1}{20(x+3)}+\frac{1}{18(x+1)^2}-\frac{1}{3(x+1)^3}+\frac{2}{135(x-2)} $$

trawling
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  • Welcome to [math.se] SE. Take a [tour]. You'll find that simple "Here's the statement of my question, solve it for me" posts will be poorly received. What is better is for you to add context (with an [edit]): What you understand about the problem, what you've tried so far, etc.; something both to show you are part of the learning experience and to help us guide you to the appropriate help. You can consult this link for further guidance. – Another User Nov 01 '23 at 20:30
  • A knight could probably run you through using a sword, though he might not find Heaviside cover-up sharp enough. – Paul Tanenbaum Nov 01 '23 at 21:11

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