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%auto %default_mode giac
2+3
5
f2nd((x^2+2*x+1)/(x^2-1))
[x+1,x-1]
partfrac((x^5-2*x^3+1)/(x^4-2*x^3+2*x^2-2*x+1))
x+2-1/2/(x-1)+(x-3)/2/(x^2+1)