Laplace tranformation

This is what I wrote what is happening when this code is runed. I don get a more approximate ans for this input in this case which happens to be 1/(x^2+3*x+2) its partial sum is correct . what I think is going on is that the LAP is not taking the partial sum into its process, instead it is looking at the entire rational eqa...any help ?? please

%%HP: T(3)A(R)F(.); \<< "Enter a " { "" V } INPUT "" SWAP + OBJ\-> \-> a \<< a PARTFRAC 'r' STO 5 WAIT 'LAP(r)' EVAL \>> "Enter b" "" INPUT OBJ\-> \-> b \<< b DRAW SWAP EVAL \>> \>>


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