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1/x+3+ x/x+1+ x²+1/(x+3)(x+1)=1(x+1)+x(x+3)+x²+1/(x+3)(x+1)=
x+1+x²+3x+x²+1/(x+3)(x+1)=
2x² +4x+2/(x+3)(x+1)=
(2x+1)(x+2)/(x+3)(x+1)→esta es la respuesta