(x + (3-x^2)/(x+1)) : (x+5)/(x^2+2x+1) = (x^2+x+3-x^2)/(x+1)*(x+1)^2/(x+5) = (x+3)(x+1)/(x+5)
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(x + (3-x^2)/(x+1)) : (x+5)/(x^2+2x+1) = (x^2+x+3-x^2)/(x+1)*(x+1)^2/(x+5) = (x+3)(x+1)/(x+5)