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Why partial fraction decomposition of $frac{1}{s^2(s+2)}$ is $frac{A}{s}+frac{B}{s^2}+frac{C}{(s+2)}$?

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1 1 $begingroup$ Can someone please explain why: $$frac{1}{s^2(s+2)}=frac{A}{s}+frac{B}{s^2}+frac{C}{(s+2)}$$ And not: $$frac{1}{s^2(s+2)}=frac{A}{s^2}+frac{B}{(s+2)}$$ I'm a bit confused where the extra s term comes from in the first equation. algebra-precalculus partial-fractions share | cite | improve this question edited Apr 3 at 3:15 user21820 40.1k 5 44 161 asked Apr 3 at 0:58 stuart stuart 196 8 ...